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Finding the Fourth Proportional to 411,521.58, 617,356.08 and 145,436.58

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Solution

The fourth proportional to 411,521.58, 617,356.08 and 145,436.58 is: 218,180.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,521.58 : 617,356.08 = 145,436.58 : x
  2. Step 2: Convert to fraction form
    411,521.58/617,356.08 = 145,436.58/x
  3. Step 3: Cross multiply
    411,521.58x = 617,356.08 × 145,436.58
  4. Step 4: Simplify right side
    411,521.58x = 89,786,156,917.41
  5. Step 5: Solve for x
    x = 89,786,156,917.41/411,521.58
  6. Step 6: Final answer
    x = 218,180.92

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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.