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Finding the Fourth Proportional to 504,885.62, 696,706.30 and 284,155.12

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Solution

The fourth proportional to 504,885.62, 696,706.30 and 284,155.12 is: 392,113.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    504,885.62 : 696,706.30 = 284,155.12 : x
  2. Step 2: Convert to fraction form
    504,885.62/696,706.30 = 284,155.12/x
  3. Step 3: Cross multiply
    504,885.62x = 696,706.30 × 284,155.12
  4. Step 4: Simplify right side
    504,885.62x = 197,972,657,376.95
  5. Step 5: Solve for x
    x = 197,972,657,376.95/504,885.62
  6. Step 6: Final answer
    x = 392,113.88

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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.