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Finding the Fourth Proportional to 504,885.12, 696,705.60 and 284,154.62

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Solution

The fourth proportional to 504,885.12, 696,705.60 and 284,154.62 is: 392,113.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    504,885.12 : 696,705.60 = 284,154.62 : x
  2. Step 2: Convert to fraction form
    504,885.12/696,705.60 = 284,154.62/x
  3. Step 3: Cross multiply
    504,885.12x = 696,705.60 × 284,154.62
  4. Step 4: Simplify right side
    504,885.12x = 197,972,112,601.92
  5. Step 5: Solve for x
    x = 197,972,112,601.92/504,885.12
  6. Step 6: Final answer
    x = 392,113.19

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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.