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Finding the Fourth Proportional to 385,720.70, 578,672.78 and 160,956.23

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Solution

The fourth proportional to 385,720.70, 578,672.78 and 160,956.23 is: 241,472.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    385,720.70 : 578,672.78 = 160,956.23 : x
  2. Step 2: Convert to fraction form
    385,720.70/578,672.78 = 160,956.23/x
  3. Step 3: Cross multiply
    385,720.70x = 578,672.78 × 160,956.23
  4. Step 4: Simplify right side
    385,720.70x = 93,140,985,374.27
  5. Step 5: Solve for x
    x = 93,140,985,374.27/385,720.70
  6. Step 6: Final answer
    x = 241,472.62

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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.