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Finding the Fourth Proportional to 356,278.56, 490,545.36 and 302,452

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Solution

The fourth proportional to 356,278.56, 490,545.36 and 302,452 is: 416,433.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    356,278.56 : 490,545.36 = 302,452 : x
  2. Step 2: Convert to fraction form
    356,278.56/490,545.36 = 302,452/x
  3. Step 3: Cross multiply
    356,278.56x = 490,545.36 × 302,452
  4. Step 4: Simplify right side
    356,278.56x = 148,366,425,222.72
  5. Step 5: Solve for x
    x = 148,366,425,222.72/356,278.56
  6. Step 6: Final answer
    x = 416,433.77

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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.