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Finding the Fourth Proportional to 657,866.64, 907,758.24 and 385,831.92

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Solution

The fourth proportional to 657,866.64, 907,758.24 and 385,831.92 is: 532,390.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    657,866.64 : 907,758.24 = 385,831.92 : x
  2. Step 2: Convert to fraction form
    657,866.64/907,758.24 = 385,831.92/x
  3. Step 3: Cross multiply
    657,866.64x = 907,758.24 × 385,831.92
  4. Step 4: Simplify right side
    657,866.64x = 350,242,104,635.02
  5. Step 5: Solve for x
    x = 350,242,104,635.02/657,866.64
  6. Step 6: Final answer
    x = 532,390.74

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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.