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Finding the Fourth Proportional to 551,509.30, 827,264.60 and 172,432.04

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Solution

The fourth proportional to 551,509.30, 827,264.60 and 172,432.04 is: 258,648.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    551,509.30 : 827,264.60 = 172,432.04 : x
  2. Step 2: Convert to fraction form
    551,509.30/827,264.60 = 172,432.04/x
  3. Step 3: Cross multiply
    551,509.30x = 827,264.60 × 172,432.04
  4. Step 4: Simplify right side
    551,509.30x = 142,646,918,461.46
  5. Step 5: Solve for x
    x = 142,646,918,461.46/551,509.30
  6. Step 6: Final answer
    x = 258,648.26

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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.