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Finding the Fourth Proportional to 217,209,965.40, 325,814,948.10 and 217,209,965.40

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Solution

The fourth proportional to 217,209,965.40, 325,814,948.10 and 217,209,965.40 is: 325,814,948.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,209,965.40 : 325,814,948.10 = 217,209,965.40 : x
  2. Step 2: Convert to fraction form
    217,209,965.40/325,814,948.10 = 217,209,965.40/x
  3. Step 3: Cross multiply
    217,209,965.40x = 325,814,948.10 × 217,209,965.40
  4. Step 4: Simplify right side
    217,209,965.40x = 70,770,253,603,603,800
  5. Step 5: Solve for x
    x = 70,770,253,603,603,800/217,209,965.40
  6. Step 6: Final answer
    x = 325,814,948.10

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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.