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Finding the Fourth Proportional to 454,246.40, 681,369.60 and 138,702.80

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Solution

The fourth proportional to 454,246.40, 681,369.60 and 138,702.80 is: 208,054.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    454,246.40 : 681,369.60 = 138,702.80 : x
  2. Step 2: Convert to fraction form
    454,246.40/681,369.60 = 138,702.80/x
  3. Step 3: Cross multiply
    454,246.40x = 681,369.60 × 138,702.80
  4. Step 4: Simplify right side
    454,246.40x = 94,507,871,354.88
  5. Step 5: Solve for x
    x = 94,507,871,354.88/454,246.40
  6. Step 6: Final answer
    x = 208,054.20

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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.