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Finding the Fourth Proportional to 408,013.40, 612,077.70 and 127,501.40

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Solution

The fourth proportional to 408,013.40, 612,077.70 and 127,501.40 is: 191,270.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,013.40 : 612,077.70 = 127,501.40 : x
  2. Step 2: Convert to fraction form
    408,013.40/612,077.70 = 127,501.40/x
  3. Step 3: Cross multiply
    408,013.40x = 612,077.70 × 127,501.40
  4. Step 4: Simplify right side
    408,013.40x = 78,040,763,658.78
  5. Step 5: Solve for x
    x = 78,040,763,658.78/408,013.40
  6. Step 6: Final answer
    x = 191,270.10

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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.