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Finding the Fourth Proportional to 431,141.20, 646,711.80 and 368,933.20

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Solution

The fourth proportional to 431,141.20, 646,711.80 and 368,933.20 is: 553,399.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,141.20 : 646,711.80 = 368,933.20 : x
  2. Step 2: Convert to fraction form
    431,141.20/646,711.80 = 368,933.20/x
  3. Step 3: Cross multiply
    431,141.20x = 646,711.80 × 368,933.20
  4. Step 4: Simplify right side
    431,141.20x = 238,593,453,851.76
  5. Step 5: Solve for x
    x = 238,593,453,851.76/431,141.20
  6. Step 6: Final answer
    x = 553,399.80

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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.