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Finding the Fourth Proportional to 459,540.44, 688,129.67 and 281,507.70

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Solution

The fourth proportional to 459,540.44, 688,129.67 and 281,507.70 is: 421,538.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    459,540.44 : 688,129.67 = 281,507.70 : x
  2. Step 2: Convert to fraction form
    459,540.44/688,129.67 = 281,507.70/x
  3. Step 3: Cross multiply
    459,540.44x = 688,129.67 × 281,507.70
  4. Step 4: Simplify right side
    459,540.44x = 193,713,803,987.72
  5. Step 5: Solve for x
    x = 193,713,803,987.72/459,540.44
  6. Step 6: Final answer
    x = 421,538.10

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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.