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Finding the Fourth Proportional to 625,809.76, 938,831.40 and 284,277.17

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Solution

The fourth proportional to 625,809.76, 938,831.40 and 284,277.17 is: 426,468.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    625,809.76 : 938,831.40 = 284,277.17 : x
  2. Step 2: Convert to fraction form
    625,809.76/938,831.40 = 284,277.17/x
  3. Step 3: Cross multiply
    625,809.76x = 938,831.40 × 284,277.17
  4. Step 4: Simplify right side
    625,809.76x = 266,888,333,499.14
  5. Step 5: Solve for x
    x = 266,888,333,499.14/625,809.76
  6. Step 6: Final answer
    x = 426,468.80

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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.