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Finding the Fourth Proportional to 402,158.01, 603,236.49 and 102,638.58

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Solution

The fourth proportional to 402,158.01, 603,236.49 and 102,638.58 is: 153,957.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,158.01 : 603,236.49 = 102,638.58 : x
  2. Step 2: Convert to fraction form
    402,158.01/603,236.49 = 102,638.58/x
  3. Step 3: Cross multiply
    402,158.01x = 603,236.49 × 102,638.58
  4. Step 4: Simplify right side
    402,158.01x = 61,915,336,737.78
  5. Step 5: Solve for x
    x = 61,915,336,737.78/402,158.01
  6. Step 6: Final answer
    x = 153,957.74

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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.