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Finding the Fourth Proportional to 438,148.95, 657,223.43 and 171,918.15

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Solution

The fourth proportional to 438,148.95, 657,223.43 and 171,918.15 is: 257,877.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    438,148.95 : 657,223.43 = 171,918.15 : x
  2. Step 2: Convert to fraction form
    438,148.95/657,223.43 = 171,918.15/x
  3. Step 3: Cross multiply
    438,148.95x = 657,223.43 × 171,918.15
  4. Step 4: Simplify right side
    438,148.95x = 112,988,635,362.66
  5. Step 5: Solve for x
    x = 112,988,635,362.66/438,148.95
  6. Step 6: Final answer
    x = 257,877.23

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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.