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Finding the Fourth Proportional to 420,953.48, 580,473.76 and 277,530

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Solution

The fourth proportional to 420,953.48, 580,473.76 and 277,530 is: 382,699.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,953.48 : 580,473.76 = 277,530 : x
  2. Step 2: Convert to fraction form
    420,953.48/580,473.76 = 277,530/x
  3. Step 3: Cross multiply
    420,953.48x = 580,473.76 × 277,530
  4. Step 4: Simplify right side
    420,953.48x = 161,098,882,612.80
  5. Step 5: Solve for x
    x = 161,098,882,612.80/420,953.48
  6. Step 6: Final answer
    x = 382,699.97

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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.