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Finding the Fourth Proportional to 213,993,792.40, 320,990,688.60 and 137,466,288.40

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Solution

The fourth proportional to 213,993,792.40, 320,990,688.60 and 137,466,288.40 is: 206,199,432.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,993,792.40 : 320,990,688.60 = 137,466,288.40 : x
  2. Step 2: Convert to fraction form
    213,993,792.40/320,990,688.60 = 137,466,288.40/x
  3. Step 3: Cross multiply
    213,993,792.40x = 320,990,688.60 × 137,466,288.40
  4. Step 4: Simplify right side
    213,993,792.40x = 44,125,398,572,802,200
  5. Step 5: Solve for x
    x = 44,125,398,572,802,200/213,993,792.40
  6. Step 6: Final answer
    x = 206,199,432.60

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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.