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Finding the Fourth Proportional to 305,655.80, 458,702.40 and 128,290.10

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Solution

The fourth proportional to 305,655.80, 458,702.40 and 128,290.10 is: 192,526.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,655.80 : 458,702.40 = 128,290.10 : x
  2. Step 2: Convert to fraction form
    305,655.80/458,702.40 = 128,290.10/x
  3. Step 3: Cross multiply
    305,655.80x = 458,702.40 × 128,290.10
  4. Step 4: Simplify right side
    305,655.80x = 58,846,976,766.24
  5. Step 5: Solve for x
    x = 58,846,976,766.24/305,655.80
  6. Step 6: Final answer
    x = 192,526.94

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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.