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Finding the Fourth Proportional to 7,286,113.20, 10,215,488.40 and 7,286,113.20

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Solution

The fourth proportional to 7,286,113.20, 10,215,488.40 and 7,286,113.20 is: 10,215,488.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,286,113.20 : 10,215,488.40 = 7,286,113.20 : x
  2. Step 2: Convert to fraction form
    7,286,113.20/10,215,488.40 = 7,286,113.20/x
  3. Step 3: Cross multiply
    7,286,113.20x = 10,215,488.40 × 7,286,113.20
  4. Step 4: Simplify right side
    7,286,113.20x = 74,431,204,875,686.89
  5. Step 5: Solve for x
    x = 74,431,204,875,686.89/7,286,113.20
  6. Step 6: Final answer
    x = 10,215,488.40

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.