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Finding the Fourth Proportional to 438,327, 657,509.31 and 172,145.07

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Solution

The fourth proportional to 438,327, 657,509.31 and 172,145.07 is: 258,224.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    438,327 : 657,509.31 = 172,145.07 : x
  2. Step 2: Convert to fraction form
    438,327/657,509.31 = 172,145.07/x
  3. Step 3: Cross multiply
    438,327x = 657,509.31 × 172,145.07
  4. Step 4: Simplify right side
    438,327x = 113,186,986,195.60
  5. Step 5: Solve for x
    x = 113,186,986,195.60/438,327
  6. Step 6: Final answer
    x = 258,224.99

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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.