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Finding the Fourth Proportional to 284,281.51, 392,308.23 and 156,957.88

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Solution

The fourth proportional to 284,281.51, 392,308.23 and 156,957.88 is: 216,601.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,281.51 : 392,308.23 = 156,957.88 : x
  2. Step 2: Convert to fraction form
    284,281.51/392,308.23 = 156,957.88/x
  3. Step 3: Cross multiply
    284,281.51x = 392,308.23 × 156,957.88
  4. Step 4: Simplify right side
    284,281.51x = 61,575,868,087.35
  5. Step 5: Solve for x
    x = 61,575,868,087.35/284,281.51
  6. Step 6: Final answer
    x = 216,601.73

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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.