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Finding the Fourth Proportional to 281,143.20, 421,714.80 and 254,024.40

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Solution

The fourth proportional to 281,143.20, 421,714.80 and 254,024.40 is: 381,036.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,143.20 : 421,714.80 = 254,024.40 : x
  2. Step 2: Convert to fraction form
    281,143.20/421,714.80 = 254,024.40/x
  3. Step 3: Cross multiply
    281,143.20x = 421,714.80 × 254,024.40
  4. Step 4: Simplify right side
    281,143.20x = 107,125,849,041.12
  5. Step 5: Solve for x
    x = 107,125,849,041.12/281,143.20
  6. Step 6: Final answer
    x = 381,036.60

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1.5x scale

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.