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Finding the Fourth Proportional to 431,363.60, 647,045.40 and 221,411.60

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Solution

The fourth proportional to 431,363.60, 647,045.40 and 221,411.60 is: 332,117.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,363.60 : 647,045.40 = 221,411.60 : x
  2. Step 2: Convert to fraction form
    431,363.60/647,045.40 = 221,411.60/x
  3. Step 3: Cross multiply
    431,363.60x = 647,045.40 × 221,411.60
  4. Step 4: Simplify right side
    431,363.60x = 143,263,357,286.64
  5. Step 5: Solve for x
    x = 143,263,357,286.64/431,363.60
  6. Step 6: Final answer
    x = 332,117.40

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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.