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Finding the Fourth Proportional to 587,123.20, 810,230.13 and 357,680.48

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Solution

The fourth proportional to 587,123.20, 810,230.13 and 357,680.48 is: 493,599.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    587,123.20 : 810,230.13 = 357,680.48 : x
  2. Step 2: Convert to fraction form
    587,123.20/810,230.13 = 357,680.48/x
  3. Step 3: Cross multiply
    587,123.20x = 810,230.13 × 357,680.48
  4. Step 4: Simplify right side
    587,123.20x = 289,803,497,757.71
  5. Step 5: Solve for x
    x = 289,803,497,757.71/587,123.20
  6. Step 6: Final answer
    x = 493,599.13

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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.