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Finding the Fourth Proportional to 411,381.05, 617,085.14 and 141,506.46

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Solution

The fourth proportional to 411,381.05, 617,085.14 and 141,506.46 is: 212,264.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,381.05 : 617,085.14 = 141,506.46 : x
  2. Step 2: Convert to fraction form
    411,381.05/617,085.14 = 141,506.46/x
  3. Step 3: Cross multiply
    411,381.05x = 617,085.14 × 141,506.46
  4. Step 4: Simplify right side
    411,381.05x = 87,321,532,972.47
  5. Step 5: Solve for x
    x = 87,321,532,972.47/411,381.05
  6. Step 6: Final answer
    x = 212,264.36

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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.