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Finding the Fourth Proportional to 385,543.43, 578,453.50 and 172,293.48

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Solution

The fourth proportional to 385,543.43, 578,453.50 and 172,293.48 is: 258,502.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    385,543.43 : 578,453.50 = 172,293.48 : x
  2. Step 2: Convert to fraction form
    385,543.43/578,453.50 = 172,293.48/x
  3. Step 3: Cross multiply
    385,543.43x = 578,453.50 × 172,293.48
  4. Step 4: Simplify right side
    385,543.43x = 99,663,766,748.55
  5. Step 5: Solve for x
    x = 99,663,766,748.55/385,543.43
  6. Step 6: Final answer
    x = 258,502.05

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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.