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Finding the Fourth Proportional to 385,586.25, 578,219.72 and 145,659.22

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Solution

The fourth proportional to 385,586.25, 578,219.72 and 145,659.22 is: 218,428.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    385,586.25 : 578,219.72 = 145,659.22 : x
  2. Step 2: Convert to fraction form
    385,586.25/578,219.72 = 145,659.22/x
  3. Step 3: Cross multiply
    385,586.25x = 578,219.72 × 145,659.22
  4. Step 4: Simplify right side
    385,586.25x = 84,223,031,229.97
  5. Step 5: Solve for x
    x = 84,223,031,229.97/385,586.25
  6. Step 6: Final answer
    x = 218,428.52

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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.