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Finding the Fourth Proportional to 199,552,209.80, 299,328,314.70 and 144,707,498.60

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Solution

The fourth proportional to 199,552,209.80, 299,328,314.70 and 144,707,498.60 is: 217,061,247.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,552,209.80 : 299,328,314.70 = 144,707,498.60 : x
  2. Step 2: Convert to fraction form
    199,552,209.80/299,328,314.70 = 144,707,498.60/x
  3. Step 3: Cross multiply
    199,552,209.80x = 299,328,314.70 × 144,707,498.60
  4. Step 4: Simplify right side
    199,552,209.80x = 43,315,051,680,390,608
  5. Step 5: Solve for x
    x = 43,315,051,680,390,608/199,552,209.80
  6. Step 6: Final answer
    x = 217,061,247.90

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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.