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Finding the Fourth Proportional to 403,761,638.80, 605,217,305.40 and 158,023,320.40

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Solution

The fourth proportional to 403,761,638.80, 605,217,305.40 and 158,023,320.40 is: 236,868,585.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    403,761,638.80 : 605,217,305.40 = 158,023,320.40 : x
  2. Step 2: Convert to fraction form
    403,761,638.80/605,217,305.40 = 158,023,320.40/x
  3. Step 3: Cross multiply
    403,761,638.80x = 605,217,305.40 × 158,023,320.40
  4. Step 4: Simplify right side
    403,761,638.80x = 95,638,448,162,848,848
  5. Step 5: Solve for x
    x = 95,638,448,162,848,848/403,761,638.80
  6. Step 6: Final answer
    x = 236,868,585.26

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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.