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Finding the Fourth Proportional to 420,278.29, 580,000.31 and 239,006.77

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Solution

The fourth proportional to 420,278.29, 580,000.31 and 239,006.77 is: 329,838.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,278.29 : 580,000.31 = 239,006.77 : x
  2. Step 2: Convert to fraction form
    420,278.29/580,000.31 = 239,006.77/x
  3. Step 3: Cross multiply
    420,278.29x = 580,000.31 × 239,006.77
  4. Step 4: Simplify right side
    420,278.29x = 138,624,000,692.10
  5. Step 5: Solve for x
    x = 138,624,000,692.10/420,278.29
  6. Step 6: Final answer
    x = 329,838.60

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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.