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Finding the Fourth Proportional to 420,471.52, 580,246.16 and 229,483.36

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Solution

The fourth proportional to 420,471.52, 580,246.16 and 229,483.36 is: 316,684.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,471.52 : 580,246.16 = 229,483.36 : x
  2. Step 2: Convert to fraction form
    420,471.52/580,246.16 = 229,483.36/x
  3. Step 3: Cross multiply
    420,471.52x = 580,246.16 × 229,483.36
  4. Step 4: Simplify right side
    420,471.52x = 133,156,838,423.90
  5. Step 5: Solve for x
    x = 133,156,838,423.90/420,471.52
  6. Step 6: Final answer
    x = 316,684.56

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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.