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Finding the Fourth Proportional to 563,397.28, 777,494.37 and 308,743

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Solution

The fourth proportional to 563,397.28, 777,494.37 and 308,743 is: 426,068.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    563,397.28 : 777,494.37 = 308,743 : x
  2. Step 2: Convert to fraction form
    563,397.28/777,494.37 = 308,743/x
  3. Step 3: Cross multiply
    563,397.28x = 777,494.37 × 308,743
  4. Step 4: Simplify right side
    563,397.28x = 240,045,944,276.91
  5. Step 5: Solve for x
    x = 240,045,944,276.91/563,397.28
  6. Step 6: Final answer
    x = 426,068.70

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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.