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Finding the Fourth Proportional to 431,470.80, 646,768.80 and 253,886.40

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Solution

The fourth proportional to 431,470.80, 646,768.80 and 253,886.40 is: 380,572.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,470.80 : 646,768.80 = 253,886.40 : x
  2. Step 2: Convert to fraction form
    431,470.80/646,768.80 = 253,886.40/x
  3. Step 3: Cross multiply
    431,470.80x = 646,768.80 × 253,886.40
  4. Step 4: Simplify right side
    431,470.80x = 164,205,802,264.32
  5. Step 5: Solve for x
    x = 164,205,802,264.32/431,470.80
  6. Step 6: Final answer
    x = 380,572.22

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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.