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Finding the Fourth Proportional to 1,431,812, 2,147,730.96 and 434,540

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Solution

The fourth proportional to 1,431,812, 2,147,730.96 and 434,540 is: 651,813.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,431,812 : 2,147,730.96 = 434,540 : x
  2. Step 2: Convert to fraction form
    1,431,812/2,147,730.96 = 434,540/x
  3. Step 3: Cross multiply
    1,431,812x = 2,147,730.96 × 434,540
  4. Step 4: Simplify right side
    1,431,812x = 933,275,011,358.40
  5. Step 5: Solve for x
    x = 933,275,011,358.40/1,431,812
  6. Step 6: Final answer
    x = 651,813.93

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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.