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Finding the Fourth Proportional to 539,010.71, 743,833.29 and 309,582.87

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Solution

The fourth proportional to 539,010.71, 743,833.29 and 309,582.87 is: 427,223.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    539,010.71 : 743,833.29 = 309,582.87 : x
  2. Step 2: Convert to fraction form
    539,010.71/743,833.29 = 309,582.87/x
  3. Step 3: Cross multiply
    539,010.71x = 743,833.29 × 309,582.87
  4. Step 4: Simplify right side
    539,010.71x = 230,278,044,719.74
  5. Step 5: Solve for x
    x = 230,278,044,719.74/539,010.71
  6. Step 6: Final answer
    x = 427,223.50

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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.