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Finding the Fourth Proportional to 431,886.24, 646,500.24 and 281,803.68

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Solution

The fourth proportional to 431,886.24, 646,500.24 and 281,803.68 is: 421,838.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,886.24 : 646,500.24 = 281,803.68 : x
  2. Step 2: Convert to fraction form
    431,886.24/646,500.24 = 281,803.68/x
  3. Step 3: Cross multiply
    431,886.24x = 646,500.24 × 281,803.68
  4. Step 4: Simplify right side
    431,886.24x = 182,186,146,752.88
  5. Step 5: Solve for x
    x = 182,186,146,752.88/431,886.24
  6. Step 6: Final answer
    x = 421,838.28

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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.