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Finding the Fourth Proportional to 613,437.96, 920,344.74 and 314,130.46

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Solution

The fourth proportional to 613,437.96, 920,344.74 and 314,130.46 is: 471,291.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    613,437.96 : 920,344.74 = 314,130.46 : x
  2. Step 2: Convert to fraction form
    613,437.96/920,344.74 = 314,130.46/x
  3. Step 3: Cross multiply
    613,437.96x = 920,344.74 × 314,130.46
  4. Step 4: Simplify right side
    613,437.96x = 289,108,316,534.78
  5. Step 5: Solve for x
    x = 289,108,316,534.78/613,437.96
  6. Step 6: Final answer
    x = 471,291.86

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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.