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Finding the Fourth Proportional to 427,433.40, 641,207.70 and 147,036.60

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Solution

The fourth proportional to 427,433.40, 641,207.70 and 147,036.60 is: 220,574.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    427,433.40 : 641,207.70 = 147,036.60 : x
  2. Step 2: Convert to fraction form
    427,433.40/641,207.70 = 147,036.60/x
  3. Step 3: Cross multiply
    427,433.40x = 641,207.70 × 147,036.60
  4. Step 4: Simplify right side
    427,433.40x = 94,281,000,101.82
  5. Step 5: Solve for x
    x = 94,281,000,101.82/427,433.40
  6. Step 6: Final answer
    x = 220,574.71

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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.