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Finding the Fourth Proportional to 411,374.10, 617,061.15 and 343,722.90

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Solution

The fourth proportional to 411,374.10, 617,061.15 and 343,722.90 is: 515,584.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,374.10 : 617,061.15 = 343,722.90 : x
  2. Step 2: Convert to fraction form
    411,374.10/617,061.15 = 343,722.90/x
  3. Step 3: Cross multiply
    411,374.10x = 617,061.15 × 343,722.90
  4. Step 4: Simplify right side
    411,374.10x = 212,098,047,955.34
  5. Step 5: Solve for x
    x = 212,098,047,955.34/411,374.10
  6. Step 6: Final answer
    x = 515,584.35

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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.