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Finding the Fourth Proportional to 524,341.20, 786,358.20 and 187,342.80

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Solution

The fourth proportional to 524,341.20, 786,358.20 and 187,342.80 is: 280,959.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    524,341.20 : 786,358.20 = 187,342.80 : x
  2. Step 2: Convert to fraction form
    524,341.20/786,358.20 = 187,342.80/x
  3. Step 3: Cross multiply
    524,341.20x = 786,358.20 × 187,342.80
  4. Step 4: Simplify right side
    524,341.20x = 147,318,546,990.96
  5. Step 5: Solve for x
    x = 147,318,546,990.96/524,341.20
  6. Step 6: Final answer
    x = 280,959.32

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.