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Finding the Fourth Proportional to 286,438.28, 429,854.62 and 99,449.80

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Solution

The fourth proportional to 286,438.28, 429,854.62 and 99,449.80 is: 149,243.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,438.28 : 429,854.62 = 99,449.80 : x
  2. Step 2: Convert to fraction form
    286,438.28/429,854.62 = 99,449.80/x
  3. Step 3: Cross multiply
    286,438.28x = 429,854.62 × 99,449.80
  4. Step 4: Simplify right side
    286,438.28x = 42,748,955,988.08
  5. Step 5: Solve for x
    x = 42,748,955,988.08/286,438.28
  6. Step 6: Final answer
    x = 149,243.17

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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.