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Finding the Fourth Proportional to 843,411.40, 1,265,408.70 and 814,251.40

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Solution

The fourth proportional to 843,411.40, 1,265,408.70 and 814,251.40 is: 1,221,658.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    843,411.40 : 1,265,408.70 = 814,251.40 : x
  2. Step 2: Convert to fraction form
    843,411.40/1,265,408.70 = 814,251.40/x
  3. Step 3: Cross multiply
    843,411.40x = 1,265,408.70 × 814,251.40
  4. Step 4: Simplify right side
    843,411.40x = 1,030,360,805,547.18
  5. Step 5: Solve for x
    x = 1,030,360,805,547.18/843,411.40
  6. Step 6: Final answer
    x = 1,221,658.62

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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.