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Finding the Fourth Proportional to 438,063.36, 657,100.26 and 171,949.20

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Solution

The fourth proportional to 438,063.36, 657,100.26 and 171,949.20 is: 257,925.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    438,063.36 : 657,100.26 = 171,949.20 : x
  2. Step 2: Convert to fraction form
    438,063.36/657,100.26 = 171,949.20/x
  3. Step 3: Cross multiply
    438,063.36x = 657,100.26 × 171,949.20
  4. Step 4: Simplify right side
    438,063.36x = 112,987,864,026.79
  5. Step 5: Solve for x
    x = 112,987,864,026.79/438,063.36
  6. Step 6: Final answer
    x = 257,925.85

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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.