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Finding the Fourth Proportional to 209,952,270.80, 314,928,406.20 and 133,330,288.40

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Solution

The fourth proportional to 209,952,270.80, 314,928,406.20 and 133,330,288.40 is: 199,995,432.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,952,270.80 : 314,928,406.20 = 133,330,288.40 : x
  2. Step 2: Convert to fraction form
    209,952,270.80/314,928,406.20 = 133,330,288.40/x
  3. Step 3: Cross multiply
    209,952,270.80x = 314,928,406.20 × 133,330,288.40
  4. Step 4: Simplify right side
    209,952,270.80x = 41,989,495,223,998,352
  5. Step 5: Solve for x
    x = 41,989,495,223,998,352/209,952,270.80
  6. Step 6: Final answer
    x = 199,995,432.60

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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.