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Finding the Fourth Proportional to 539,377.86, 744,338.28 and 313,018.50

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Solution

The fourth proportional to 539,377.86, 744,338.28 and 313,018.50 is: 431,963.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    539,377.86 : 744,338.28 = 313,018.50 : x
  2. Step 2: Convert to fraction form
    539,377.86/744,338.28 = 313,018.50/x
  3. Step 3: Cross multiply
    539,377.86x = 744,338.28 × 313,018.50
  4. Step 4: Simplify right side
    539,377.86x = 232,991,651,898.18
  5. Step 5: Solve for x
    x = 232,991,651,898.18/539,377.86
  6. Step 6: Final answer
    x = 431,963.69

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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.