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Finding the Fourth Proportional to 438,474.37, 657,729.84 and 138,948.32

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Solution

The fourth proportional to 438,474.37, 657,729.84 and 138,948.32 is: 208,428.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    438,474.37 : 657,729.84 = 138,948.32 : x
  2. Step 2: Convert to fraction form
    438,474.37/657,729.84 = 138,948.32/x
  3. Step 3: Cross multiply
    438,474.37x = 657,729.84 × 138,948.32
  4. Step 4: Simplify right side
    438,474.37x = 91,390,456,281.87
  5. Step 5: Solve for x
    x = 91,390,456,281.87/438,474.37
  6. Step 6: Final answer
    x = 208,428.28

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1.5x scale

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.