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Finding the Fourth Proportional to 477,665.92, 716,472.96 and 145,216

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Solution

The fourth proportional to 477,665.92, 716,472.96 and 145,216 is: 217,816.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    477,665.92 : 716,472.96 = 145,216 : x
  2. Step 2: Convert to fraction form
    477,665.92/716,472.96 = 145,216/x
  3. Step 3: Cross multiply
    477,665.92x = 716,472.96 × 145,216
  4. Step 4: Simplify right side
    477,665.92x = 104,043,337,359.36
  5. Step 5: Solve for x
    x = 104,043,337,359.36/477,665.92
  6. Step 6: Final answer
    x = 217,816.12

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.