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Finding the Fourth Proportional to 438,169.70, 657,254.55 and 171,938.90

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Solution

The fourth proportional to 438,169.70, 657,254.55 and 171,938.90 is: 257,908.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    438,169.70 : 657,254.55 = 171,938.90 : x
  2. Step 2: Convert to fraction form
    438,169.70/657,254.55 = 171,938.90/x
  3. Step 3: Cross multiply
    438,169.70x = 657,254.55 × 171,938.90
  4. Step 4: Simplify right side
    438,169.70x = 113,007,624,347.00
  5. Step 5: Solve for x
    x = 113,007,624,347.00/438,169.70
  6. Step 6: Final answer
    x = 257,908.35

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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.