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Finding the Fourth Proportional to 420,778.40, 580,123.20 and 311,537.76

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Solution

The fourth proportional to 420,778.40, 580,123.20 and 311,537.76 is: 429,514.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,778.40 : 580,123.20 = 311,537.76 : x
  2. Step 2: Convert to fraction form
    420,778.40/580,123.20 = 311,537.76/x
  3. Step 3: Cross multiply
    420,778.40x = 580,123.20 × 311,537.76
  4. Step 4: Simplify right side
    420,778.40x = 180,730,282,252.03
  5. Step 5: Solve for x
    x = 180,730,282,252.03/420,778.40
  6. Step 6: Final answer
    x = 429,514.16

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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.