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Finding the Fourth Proportional to 288,575.25, 432,862.87 and 78,213.18

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Solution

The fourth proportional to 288,575.25, 432,862.87 and 78,213.18 is: 117,319.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,575.25 : 432,862.87 = 78,213.18 : x
  2. Step 2: Convert to fraction form
    288,575.25/432,862.87 = 78,213.18/x
  3. Step 3: Cross multiply
    288,575.25x = 432,862.87 × 78,213.18
  4. Step 4: Simplify right side
    288,575.25x = 33,855,581,566.63
  5. Step 5: Solve for x
    x = 33,855,581,566.63/288,575.25
  6. Step 6: Final answer
    x = 117,319.77

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1.5x scale

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.