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Finding the Fourth Proportional to 420,693.48, 580,557.72 and 229,702.80

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Solution

The fourth proportional to 420,693.48, 580,557.72 and 229,702.80 is: 316,990.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,693.48 : 580,557.72 = 229,702.80 : x
  2. Step 2: Convert to fraction form
    420,693.48/580,557.72 = 229,702.80/x
  3. Step 3: Cross multiply
    420,693.48x = 580,557.72 × 229,702.80
  4. Step 4: Simplify right side
    420,693.48x = 133,355,733,845.62
  5. Step 5: Solve for x
    x = 133,355,733,845.62/420,693.48
  6. Step 6: Final answer
    x = 316,990.26

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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.