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Finding the Fourth Proportional to 411,718.71, 617,467.08 and 145,444.17

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Solution

The fourth proportional to 411,718.71, 617,467.08 and 145,444.17 is: 218,127.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,718.71 : 617,467.08 = 145,444.17 : x
  2. Step 2: Convert to fraction form
    411,718.71/617,467.08 = 145,444.17/x
  3. Step 3: Cross multiply
    411,718.71x = 617,467.08 × 145,444.17
  4. Step 4: Simplify right side
    411,718.71x = 89,806,986,952.92
  5. Step 5: Solve for x
    x = 89,806,986,952.92/411,718.71
  6. Step 6: Final answer
    x = 218,127.05

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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.