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Finding the Fourth Proportional to 613,776.48, 920,074.20 and 314,398.06

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Solution

The fourth proportional to 613,776.48, 920,074.20 and 314,398.06 is: 471,294.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    613,776.48 : 920,074.20 = 314,398.06 : x
  2. Step 2: Convert to fraction form
    613,776.48/920,074.20 = 314,398.06/x
  3. Step 3: Cross multiply
    613,776.48x = 920,074.20 × 314,398.06
  4. Step 4: Simplify right side
    613,776.48x = 289,269,543,536.05
  5. Step 5: Solve for x
    x = 289,269,543,536.05/613,776.48
  6. Step 6: Final answer
    x = 471,294.60

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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.