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Finding the Fourth Proportional to 284,281.80, 392,306.28 and 156,954.60

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Solution

The fourth proportional to 284,281.80, 392,306.28 and 156,954.60 is: 216,595.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,281.80 : 392,306.28 = 156,954.60 : x
  2. Step 2: Convert to fraction form
    284,281.80/392,306.28 = 156,954.60/x
  3. Step 3: Cross multiply
    284,281.80x = 392,306.28 × 156,954.60
  4. Step 4: Simplify right side
    284,281.80x = 61,574,275,254.89
  5. Step 5: Solve for x
    x = 61,574,275,254.89/284,281.80
  6. Step 6: Final answer
    x = 216,595.91

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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.