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Finding the Fourth Proportional to 284,288.87, 392,321.58 and 156,964.16

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Solution

The fourth proportional to 284,288.87, 392,321.58 and 156,964.16 is: 216,612.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,288.87 : 392,321.58 = 156,964.16 : x
  2. Step 2: Convert to fraction form
    284,288.87/392,321.58 = 156,964.16/x
  3. Step 3: Cross multiply
    284,288.87x = 392,321.58 × 156,964.16
  4. Step 4: Simplify right side
    284,288.87x = 61,580,427,646.76
  5. Step 5: Solve for x
    x = 61,580,427,646.76/284,288.87
  6. Step 6: Final answer
    x = 216,612.16

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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.