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Finding the Fourth Proportional to 613,437.29, 920,343.72 and 314,129.78

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Solution

The fourth proportional to 613,437.29, 920,343.72 and 314,129.78 is: 471,290.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    613,437.29 : 920,343.72 = 314,129.78 : x
  2. Step 2: Convert to fraction form
    613,437.29/920,343.72 = 314,129.78/x
  3. Step 3: Cross multiply
    613,437.29x = 920,343.72 × 314,129.78
  4. Step 4: Simplify right side
    613,437.29x = 289,107,365,686.26
  5. Step 5: Solve for x
    x = 289,107,365,686.26/613,437.29
  6. Step 6: Final answer
    x = 471,290.83

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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.