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Finding the Fourth Proportional to 708,287.74, 977,338.47 and 398,146.47

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Solution

The fourth proportional to 708,287.74, 977,338.47 and 398,146.47 is: 549,386.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    708,287.74 : 977,338.47 = 398,146.47 : x
  2. Step 2: Convert to fraction form
    708,287.74/977,338.47 = 398,146.47/x
  3. Step 3: Cross multiply
    708,287.74x = 977,338.47 × 398,146.47
  4. Step 4: Simplify right side
    708,287.74x = 389,123,865,151.26
  5. Step 5: Solve for x
    x = 389,123,865,151.26/708,287.74
  6. Step 6: Final answer
    x = 549,386.70

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.