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Finding the Fourth Proportional to 566,284.64, 781,472.92 and 311,635.84

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Solution

The fourth proportional to 566,284.64, 781,472.92 and 311,635.84 is: 430,057.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    566,284.64 : 781,472.92 = 311,635.84 : x
  2. Step 2: Convert to fraction form
    566,284.64/781,472.92 = 311,635.84/x
  3. Step 3: Cross multiply
    566,284.64x = 781,472.92 × 311,635.84
  4. Step 4: Simplify right side
    566,284.64x = 243,534,969,861.45
  5. Step 5: Solve for x
    x = 243,534,969,861.45/566,284.64
  6. Step 6: Final answer
    x = 430,057.52

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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.