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Finding the Fourth Proportional to 213,993,800.40, 320,990,700.60 and 137,466,296.40

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Solution

The fourth proportional to 213,993,800.40, 320,990,700.60 and 137,466,296.40 is: 206,199,444.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,993,800.40 : 320,990,700.60 = 137,466,296.40 : x
  2. Step 2: Convert to fraction form
    213,993,800.40/320,990,700.60 = 137,466,296.40/x
  3. Step 3: Cross multiply
    213,993,800.40x = 320,990,700.60 × 137,466,296.40
  4. Step 4: Simplify right side
    213,993,800.40x = 44,125,402,790,323,264
  5. Step 5: Solve for x
    x = 44,125,402,790,323,264/213,993,800.40
  6. Step 6: Final answer
    x = 206,199,444.60

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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.