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Finding the Fourth Proportional to 513,663, 708,856.08 and 284,236.92

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Solution

The fourth proportional to 513,663, 708,856.08 and 284,236.92 is: 392,247.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    513,663 : 708,856.08 = 284,236.92 : x
  2. Step 2: Convert to fraction form
    513,663/708,856.08 = 284,236.92/x
  3. Step 3: Cross multiply
    513,663x = 708,856.08 × 284,236.92
  4. Step 4: Simplify right side
    513,663x = 201,483,068,902.47
  5. Step 5: Solve for x
    x = 201,483,068,902.47/513,663
  6. Step 6: Final answer
    x = 392,247.58

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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.