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Finding the Fourth Proportional to 385,759.20, 578,638.80 and 101,449.20

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Solution

The fourth proportional to 385,759.20, 578,638.80 and 101,449.20 is: 152,173.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    385,759.20 : 578,638.80 = 101,449.20 : x
  2. Step 2: Convert to fraction form
    385,759.20/578,638.80 = 101,449.20/x
  3. Step 3: Cross multiply
    385,759.20x = 578,638.80 × 101,449.20
  4. Step 4: Simplify right side
    385,759.20x = 58,702,443,348.96
  5. Step 5: Solve for x
    x = 58,702,443,348.96/385,759.20
  6. Step 6: Final answer
    x = 152,173.80

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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.