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Finding the Fourth Proportional to 438,627.84, 657,656.64 and 172,414.40

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Solution

The fourth proportional to 438,627.84, 657,656.64 and 172,414.40 is: 258,509.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    438,627.84 : 657,656.64 = 172,414.40 : x
  2. Step 2: Convert to fraction form
    438,627.84/657,656.64 = 172,414.40/x
  3. Step 3: Cross multiply
    438,627.84x = 657,656.64 × 172,414.40
  4. Step 4: Simplify right side
    438,627.84x = 113,389,474,991.62
  5. Step 5: Solve for x
    x = 113,389,474,991.62/438,627.84
  6. Step 6: Final answer
    x = 258,509.53

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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.