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Finding the Fourth Proportional to 407,543.59, 610,520.14 and 266,875.75

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Solution

The fourth proportional to 407,543.59, 610,520.14 and 266,875.75 is: 399,792.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,543.59 : 610,520.14 = 266,875.75 : x
  2. Step 2: Convert to fraction form
    407,543.59/610,520.14 = 266,875.75/x
  3. Step 3: Cross multiply
    407,543.59x = 610,520.14 × 266,875.75
  4. Step 4: Simplify right side
    407,543.59x = 162,933,020,252.61
  5. Step 5: Solve for x
    x = 162,933,020,252.61/407,543.59
  6. Step 6: Final answer
    x = 399,792.87

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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.