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Finding the Fourth Proportional to 438,298.80, 657,194.67 and 171,747.24

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Solution

The fourth proportional to 438,298.80, 657,194.67 and 171,747.24 is: 257,521.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    438,298.80 : 657,194.67 = 171,747.24 : x
  2. Step 2: Convert to fraction form
    438,298.80/657,194.67 = 171,747.24/x
  3. Step 3: Cross multiply
    438,298.80x = 657,194.67 × 171,747.24
  4. Step 4: Simplify right side
    438,298.80x = 112,871,370,715.21
  5. Step 5: Solve for x
    x = 112,871,370,715.21/438,298.80
  6. Step 6: Final answer
    x = 257,521.51

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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.