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Finding the Fourth Proportional to 284,080, 392,014.96 and 156,730.72

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Solution

The fourth proportional to 284,080, 392,014.96 and 156,730.72 is: 216,279.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,080 : 392,014.96 = 156,730.72 : x
  2. Step 2: Convert to fraction form
    284,080/392,014.96 = 156,730.72/x
  3. Step 3: Cross multiply
    284,080x = 392,014.96 × 156,730.72
  4. Step 4: Simplify right side
    284,080x = 61,440,786,931.57
  5. Step 5: Solve for x
    x = 61,440,786,931.57/284,080
  6. Step 6: Final answer
    x = 216,279.88

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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.