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Finding the Fourth Proportional to 431,153.20, 646,729.80 and 386,052.40

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Solution

The fourth proportional to 431,153.20, 646,729.80 and 386,052.40 is: 579,078.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,153.20 : 646,729.80 = 386,052.40 : x
  2. Step 2: Convert to fraction form
    431,153.20/646,729.80 = 386,052.40/x
  3. Step 3: Cross multiply
    431,153.20x = 646,729.80 × 386,052.40
  4. Step 4: Simplify right side
    431,153.20x = 249,671,591,441.52
  5. Step 5: Solve for x
    x = 249,671,591,441.52/431,153.20
  6. Step 6: Final answer
    x = 579,078.60

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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.