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Finding the Fourth Proportional to 411,717.59, 617,465.26 and 145,443.05

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Solution

The fourth proportional to 411,717.59, 617,465.26 and 145,443.05 is: 218,125.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,717.59 : 617,465.26 = 145,443.05 : x
  2. Step 2: Convert to fraction form
    411,717.59/617,465.26 = 145,443.05/x
  3. Step 3: Cross multiply
    411,717.59x = 617,465.26 × 145,443.05
  4. Step 4: Simplify right side
    411,717.59x = 89,806,030,683.44
  5. Step 5: Solve for x
    x = 89,806,030,683.44/411,717.59
  6. Step 6: Final answer
    x = 218,125.32

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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.