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Finding the Fourth Proportional to 284,023.53, 391,953.74 and 156,702.87

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Solution

The fourth proportional to 284,023.53, 391,953.74 and 156,702.87 is: 216,250.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,023.53 : 391,953.74 = 156,702.87 : x
  2. Step 2: Convert to fraction form
    284,023.53/391,953.74 = 156,702.87/x
  3. Step 3: Cross multiply
    284,023.53x = 391,953.74 × 156,702.87
  4. Step 4: Simplify right side
    284,023.53x = 61,420,275,181.72
  5. Step 5: Solve for x
    x = 61,420,275,181.72/284,023.53
  6. Step 6: Final answer
    x = 216,250.66

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.