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Finding the Fourth Proportional to 286,229.18, 429,540.62 and 99,240.68

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Solution

The fourth proportional to 286,229.18, 429,540.62 and 99,240.68 is: 148,929.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,229.18 : 429,540.62 = 99,240.68 : x
  2. Step 2: Convert to fraction form
    286,229.18/429,540.62 = 99,240.68/x
  3. Step 3: Cross multiply
    286,229.18x = 429,540.62 × 99,240.68
  4. Step 4: Simplify right side
    286,229.18x = 42,627,903,216.42
  5. Step 5: Solve for x
    x = 42,627,903,216.42/286,229.18
  6. Step 6: Final answer
    x = 148,929.27

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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.