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Finding the Fourth Proportional to 420,424.98, 580,034.76 and 323,658.48

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Solution

The fourth proportional to 420,424.98, 580,034.76 and 323,658.48 is: 446,531.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,424.98 : 580,034.76 = 323,658.48 : x
  2. Step 2: Convert to fraction form
    420,424.98/580,034.76 = 323,658.48/x
  3. Step 3: Cross multiply
    420,424.98x = 580,034.76 × 323,658.48
  4. Step 4: Simplify right side
    420,424.98x = 187,733,168,768.77
  5. Step 5: Solve for x
    x = 187,733,168,768.77/420,424.98
  6. Step 6: Final answer
    x = 446,531.91

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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.