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Finding the Fourth Proportional to 287,283.96, 429,876.15 and 169,011

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Solution

The fourth proportional to 287,283.96, 429,876.15 and 169,011 is: 252,898.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,283.96 : 429,876.15 = 169,011 : x
  2. Step 2: Convert to fraction form
    287,283.96/429,876.15 = 169,011/x
  3. Step 3: Cross multiply
    287,283.96x = 429,876.15 × 169,011
  4. Step 4: Simplify right side
    287,283.96x = 72,653,797,987.65
  5. Step 5: Solve for x
    x = 72,653,797,987.65/287,283.96
  6. Step 6: Final answer
    x = 252,898.90

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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.