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Finding the Fourth Proportional to 420,541.92, 580,356 and 229,572

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Solution

The fourth proportional to 420,541.92, 580,356 and 229,572 is: 316,813.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,541.92 : 580,356 = 229,572 : x
  2. Step 2: Convert to fraction form
    420,541.92/580,356 = 229,572/x
  3. Step 3: Cross multiply
    420,541.92x = 580,356 × 229,572
  4. Step 4: Simplify right side
    420,541.92x = 133,233,487,632
  5. Step 5: Solve for x
    x = 133,233,487,632/420,541.92
  6. Step 6: Final answer
    x = 316,813.81

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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.