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Finding the Fourth Proportional to 317,643.82, 438,347.20 and 181,677.58

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Solution

The fourth proportional to 317,643.82, 438,347.20 and 181,677.58 is: 250,714.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    317,643.82 : 438,347.20 = 181,677.58 : x
  2. Step 2: Convert to fraction form
    317,643.82/438,347.20 = 181,677.58/x
  3. Step 3: Cross multiply
    317,643.82x = 438,347.20 × 181,677.58
  4. Step 4: Simplify right side
    317,643.82x = 79,637,856,945.71
  5. Step 5: Solve for x
    x = 79,637,856,945.71/317,643.82
  6. Step 6: Final answer
    x = 250,714.33

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.