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Finding the Fourth Proportional to 286,423.26, 429,832.12 and 99,434.76

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Solution

The fourth proportional to 286,423.26, 429,832.12 and 99,434.76 is: 149,220.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,423.26 : 429,832.12 = 99,434.76 : x
  2. Step 2: Convert to fraction form
    286,423.26/429,832.12 = 99,434.76/x
  3. Step 3: Cross multiply
    286,423.26x = 429,832.12 × 99,434.76
  4. Step 4: Simplify right side
    286,423.26x = 42,740,253,692.49
  5. Step 5: Solve for x
    x = 42,740,253,692.49/286,423.26
  6. Step 6: Final answer
    x = 149,220.61

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1.5x scale

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.