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Finding the Fourth Proportional to 551,362.10, 827,064.21 and 172,317.74

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Solution

The fourth proportional to 551,362.10, 827,064.21 and 172,317.74 is: 258,483.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    551,362.10 : 827,064.21 = 172,317.74 : x
  2. Step 2: Convert to fraction form
    551,362.10/827,064.21 = 172,317.74/x
  3. Step 3: Cross multiply
    551,362.10x = 827,064.21 × 172,317.74
  4. Step 4: Simplify right side
    551,362.10x = 142,517,835,502.09
  5. Step 5: Solve for x
    x = 142,517,835,502.09/551,362.10
  6. Step 6: Final answer
    x = 258,483.19

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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.