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Finding the Fourth Proportional to 284,288.40, 392,316.20 and 156,962.88

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Solution

The fourth proportional to 284,288.40, 392,316.20 and 156,962.88 is: 216,607.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,288.40 : 392,316.20 = 156,962.88 : x
  2. Step 2: Convert to fraction form
    284,288.40/392,316.20 = 156,962.88/x
  3. Step 3: Cross multiply
    284,288.40x = 392,316.20 × 156,962.88
  4. Step 4: Simplify right side
    284,288.40x = 61,579,080,622.66
  5. Step 5: Solve for x
    x = 61,579,080,622.66/284,288.40
  6. Step 6: Final answer
    x = 216,607.78

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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.