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Finding the Fourth Proportional to 408,428.88, 612,643.59 and 127,968

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Solution

The fourth proportional to 408,428.88, 612,643.59 and 127,968 is: 191,952.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,428.88 : 612,643.59 = 127,968 : x
  2. Step 2: Convert to fraction form
    408,428.88/612,643.59 = 127,968/x
  3. Step 3: Cross multiply
    408,428.88x = 612,643.59 × 127,968
  4. Step 4: Simplify right side
    408,428.88x = 78,398,774,925.12
  5. Step 5: Solve for x
    x = 78,398,774,925.12/408,428.88
  6. Step 6: Final answer
    x = 191,952.08

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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.