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Finding the Fourth Proportional to 613,897.20, 920,845.80 and 314,278.20

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Solution

The fourth proportional to 613,897.20, 920,845.80 and 314,278.20 is: 471,417.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    613,897.20 : 920,845.80 = 314,278.20 : x
  2. Step 2: Convert to fraction form
    613,897.20/920,845.80 = 314,278.20/x
  3. Step 3: Cross multiply
    613,897.20x = 920,845.80 × 314,278.20
  4. Step 4: Simplify right side
    613,897.20x = 289,401,760,501.56
  5. Step 5: Solve for x
    x = 289,401,760,501.56/613,897.20
  6. Step 6: Final answer
    x = 471,417.30

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Double scale
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Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.