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Finding the Fourth Proportional to 420,984, 580,957.92 and 242,136

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Solution

The fourth proportional to 420,984, 580,957.92 and 242,136 is: 334,147.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,984 : 580,957.92 = 242,136 : x
  2. Step 2: Convert to fraction form
    420,984/580,957.92 = 242,136/x
  3. Step 3: Cross multiply
    420,984x = 580,957.92 × 242,136
  4. Step 4: Simplify right side
    420,984x = 140,670,826,917.12
  5. Step 5: Solve for x
    x = 140,670,826,917.12/420,984
  6. Step 6: Final answer
    x = 334,147.68

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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.