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Finding the Fourth Proportional to 431,264.92, 646,182.18 and 262,274.08

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Solution

The fourth proportional to 431,264.92, 646,182.18 and 262,274.08 is: 392,976.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,264.92 : 646,182.18 = 262,274.08 : x
  2. Step 2: Convert to fraction form
    431,264.92/646,182.18 = 262,274.08/x
  3. Step 3: Cross multiply
    431,264.92x = 646,182.18 × 262,274.08
  4. Step 4: Simplify right side
    431,264.92x = 169,476,836,771.89
  5. Step 5: Solve for x
    x = 169,476,836,771.89/431,264.92
  6. Step 6: Final answer
    x = 392,976.17

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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.