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Finding the Fourth Proportional to 286,429.24, 429,841.12 and 99,440.76

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Solution

The fourth proportional to 286,429.24, 429,841.12 and 99,440.76 is: 149,229.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,429.24 : 429,841.12 = 99,440.76 : x
  2. Step 2: Convert to fraction form
    286,429.24/429,841.12 = 99,440.76/x
  3. Step 3: Cross multiply
    286,429.24x = 429,841.12 × 99,440.76
  4. Step 4: Simplify right side
    286,429.24x = 42,743,727,652.05
  5. Step 5: Solve for x
    x = 42,743,727,652.05/286,429.24
  6. Step 6: Final answer
    x = 149,229.62

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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.