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Finding the Fourth Proportional to 284,226.60, 392,230.80 and 156,902.16

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Solution

The fourth proportional to 284,226.60, 392,230.80 and 156,902.16 is: 216,523.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,226.60 : 392,230.80 = 156,902.16 : x
  2. Step 2: Convert to fraction form
    284,226.60/392,230.80 = 156,902.16/x
  3. Step 3: Cross multiply
    284,226.60x = 392,230.80 × 156,902.16
  4. Step 4: Simplify right side
    284,226.60x = 61,541,859,738.53
  5. Step 5: Solve for x
    x = 61,541,859,738.53/284,226.60
  6. Step 6: Final answer
    x = 216,523.93

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1.5x scale

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.