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Finding the Fourth Proportional to 856,572, 1,284,937.20 and 225,489.12

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Solution

The fourth proportional to 856,572, 1,284,937.20 and 225,489.12 is: 338,254.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    856,572 : 1,284,937.20 = 225,489.12 : x
  2. Step 2: Convert to fraction form
    856,572/1,284,937.20 = 225,489.12/x
  3. Step 3: Cross multiply
    856,572x = 1,284,937.20 × 225,489.12
  4. Step 4: Simplify right side
    856,572x = 289,739,358,483.26
  5. Step 5: Solve for x
    x = 289,739,358,483.26/856,572
  6. Step 6: Final answer
    x = 338,254.53

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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.