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Finding the Fourth Proportional to 461,323.80, 691,856.10 and 145,877.40

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Solution

The fourth proportional to 461,323.80, 691,856.10 and 145,877.40 is: 218,775.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    461,323.80 : 691,856.10 = 145,877.40 : x
  2. Step 2: Convert to fraction form
    461,323.80/691,856.10 = 145,877.40/x
  3. Step 3: Cross multiply
    461,323.80x = 691,856.10 × 145,877.40
  4. Step 4: Simplify right side
    461,323.80x = 100,926,169,042.14
  5. Step 5: Solve for x
    x = 100,926,169,042.14/461,323.80
  6. Step 6: Final answer
    x = 218,775.12

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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.