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Finding the Fourth Proportional to 342,177.46, 512,822.30 and 152,367.74

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Solution

The fourth proportional to 342,177.46, 512,822.30 and 152,367.74 is: 228,353.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,177.46 : 512,822.30 = 152,367.74 : x
  2. Step 2: Convert to fraction form
    342,177.46/512,822.30 = 152,367.74/x
  3. Step 3: Cross multiply
    342,177.46x = 512,822.30 × 152,367.74
  4. Step 4: Simplify right side
    342,177.46x = 78,137,574,872.60
  5. Step 5: Solve for x
    x = 78,137,574,872.60/342,177.46
  6. Step 6: Final answer
    x = 228,353.95

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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.