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Finding the Fourth Proportional to 286,447.28, 429,681.72 and 108,921.20

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Solution

The fourth proportional to 286,447.28, 429,681.72 and 108,921.20 is: 163,385.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,447.28 : 429,681.72 = 108,921.20 : x
  2. Step 2: Convert to fraction form
    286,447.28/429,681.72 = 108,921.20/x
  3. Step 3: Cross multiply
    286,447.28x = 429,681.72 × 108,921.20
  4. Step 4: Simplify right side
    286,447.28x = 46,801,448,560.46
  5. Step 5: Solve for x
    x = 46,801,448,560.46/286,447.28
  6. Step 6: Final answer
    x = 163,385.91

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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.