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Finding the Fourth Proportional to 287,706.72, 432,273.92 and 186,569.12

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Solution

The fourth proportional to 287,706.72, 432,273.92 and 186,569.12 is: 280,316.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,706.72 : 432,273.92 = 186,569.12 : x
  2. Step 2: Convert to fraction form
    287,706.72/432,273.92 = 186,569.12/x
  3. Step 3: Cross multiply
    287,706.72x = 432,273.92 × 186,569.12
  4. Step 4: Simplify right side
    287,706.72x = 80,648,964,853.35
  5. Step 5: Solve for x
    x = 80,648,964,853.35/287,706.72
  6. Step 6: Final answer
    x = 280,316.58

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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.