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Finding the Fourth Proportional to 438,297.32, 657,179.88 and 171,738.46

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Solution

The fourth proportional to 438,297.32, 657,179.88 and 171,738.46 is: 257,503.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    438,297.32 : 657,179.88 = 171,738.46 : x
  2. Step 2: Convert to fraction form
    438,297.32/657,179.88 = 171,738.46/x
  3. Step 3: Cross multiply
    438,297.32x = 657,179.88 × 171,738.46
  4. Step 4: Simplify right side
    438,297.32x = 112,863,060,534.19
  5. Step 5: Solve for x
    x = 112,863,060,534.19/438,297.32
  6. Step 6: Final answer
    x = 257,503.42

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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.