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Finding the Fourth Proportional to 286,328.72, 429,548.42 and 108,821.89

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Solution

The fourth proportional to 286,328.72, 429,548.42 and 108,821.89 is: 163,253.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,328.72 : 429,548.42 = 108,821.89 : x
  2. Step 2: Convert to fraction form
    286,328.72/429,548.42 = 108,821.89/x
  3. Step 3: Cross multiply
    286,328.72x = 429,548.42 × 108,821.89
  4. Step 4: Simplify right side
    286,328.72x = 46,744,272,400.47
  5. Step 5: Solve for x
    x = 46,744,272,400.47/286,328.72
  6. Step 6: Final answer
    x = 163,253.87

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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.