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Finding the Fourth Proportional to 290,314,138.80, 435,471,208.20 and 108,537,697.20

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Solution

The fourth proportional to 290,314,138.80, 435,471,208.20 and 108,537,697.20 is: 162,806,545.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,314,138.80 : 435,471,208.20 = 108,537,697.20 : x
  2. Step 2: Convert to fraction form
    290,314,138.80/435,471,208.20 = 108,537,697.20/x
  3. Step 3: Cross multiply
    290,314,138.80x = 435,471,208.20 × 108,537,697.20
  4. Step 4: Simplify right side
    290,314,138.80x = 47,265,042,134,929,760
  5. Step 5: Solve for x
    x = 47,265,042,134,929,760/290,314,138.80
  6. Step 6: Final answer
    x = 162,806,545.80

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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.