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Finding the Fourth Proportional to 345,264.96, 517,968.46 and 145,585.92

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Solution

The fourth proportional to 345,264.96, 517,968.46 and 145,585.92 is: 218,408.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    345,264.96 : 517,968.46 = 145,585.92 : x
  2. Step 2: Convert to fraction form
    345,264.96/517,968.46 = 145,585.92/x
  3. Step 3: Cross multiply
    345,264.96x = 517,968.46 × 145,585.92
  4. Step 4: Simplify right side
    345,264.96x = 75,408,916,085.53
  5. Step 5: Solve for x
    x = 75,408,916,085.53/345,264.96
  6. Step 6: Final answer
    x = 218,408.83

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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.