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Finding the Fourth Proportional to 314,928,312.70, 472,392,469.05 and 84,920,647.90

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Solution

The fourth proportional to 314,928,312.70, 472,392,469.05 and 84,920,647.90 is: 127,380,971.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,928,312.70 : 472,392,469.05 = 84,920,647.90 : x
  2. Step 2: Convert to fraction form
    314,928,312.70/472,392,469.05 = 84,920,647.90/x
  3. Step 3: Cross multiply
    314,928,312.70x = 472,392,469.05 × 84,920,647.90
  4. Step 4: Simplify right side
    314,928,312.70x = 40,115,874,534,806,704
  5. Step 5: Solve for x
    x = 40,115,874,534,806,704/314,928,312.70
  6. Step 6: Final answer
    x = 127,380,971.85

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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.