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Finding the Fourth Proportional to 431,043.20, 646,564.80 and 164,812.40

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Solution

The fourth proportional to 431,043.20, 646,564.80 and 164,812.40 is: 247,218.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,043.20 : 646,564.80 = 164,812.40 : x
  2. Step 2: Convert to fraction form
    431,043.20/646,564.80 = 164,812.40/x
  3. Step 3: Cross multiply
    431,043.20x = 646,564.80 × 164,812.40
  4. Step 4: Simplify right side
    431,043.20x = 106,561,896,443.52
  5. Step 5: Solve for x
    x = 106,561,896,443.52/431,043.20
  6. Step 6: Final answer
    x = 247,218.60

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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.