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Finding the Fourth Proportional to 286,426.26, 429,836.62 and 99,437.76

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Solution

The fourth proportional to 286,426.26, 429,836.62 and 99,437.76 is: 149,225.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,426.26 : 429,836.62 = 99,437.76 : x
  2. Step 2: Convert to fraction form
    286,426.26/429,836.62 = 99,437.76/x
  3. Step 3: Cross multiply
    286,426.26x = 429,836.62 × 99,437.76
  4. Step 4: Simplify right side
    286,426.26x = 42,741,990,658.77
  5. Step 5: Solve for x
    x = 42,741,990,658.77/286,426.26
  6. Step 6: Final answer
    x = 149,225.11

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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.