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Finding the Fourth Proportional to 393,840.10, 590,541.45 and 156,915.10

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Solution

The fourth proportional to 393,840.10, 590,541.45 and 156,915.10 is: 235,285.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    393,840.10 : 590,541.45 = 156,915.10 : x
  2. Step 2: Convert to fraction form
    393,840.10/590,541.45 = 156,915.10/x
  3. Step 3: Cross multiply
    393,840.10x = 590,541.45 × 156,915.10
  4. Step 4: Simplify right side
    393,840.10x = 92,664,870,680.90
  5. Step 5: Solve for x
    x = 92,664,870,680.90/393,840.10
  6. Step 6: Final answer
    x = 235,285.51

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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.