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Finding the Fourth Proportional to 209,583,562.80, 314,375,344.20 and 208,148,672.10

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Solution

The fourth proportional to 209,583,562.80, 314,375,344.20 and 208,148,672.10 is: 312,223,008.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,583,562.80 : 314,375,344.20 = 208,148,672.10 : x
  2. Step 2: Convert to fraction form
    209,583,562.80/314,375,344.20 = 208,148,672.10/x
  3. Step 3: Cross multiply
    209,583,562.80x = 314,375,344.20 × 208,148,672.10
  4. Step 4: Simplify right side
    209,583,562.80x = 65,436,810,436,210,432
  5. Step 5: Solve for x
    x = 65,436,810,436,210,432/209,583,562.80
  6. Step 6: Final answer
    x = 312,223,008.15

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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.