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Finding the Fourth Proportional to 280,955.98, 421,434.36 and 114,743.98

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Solution

The fourth proportional to 280,955.98, 421,434.36 and 114,743.98 is: 172,116.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,955.98 : 421,434.36 = 114,743.98 : x
  2. Step 2: Convert to fraction form
    280,955.98/421,434.36 = 114,743.98/x
  3. Step 3: Cross multiply
    280,955.98x = 421,434.36 × 114,743.98
  4. Step 4: Simplify right side
    280,955.98x = 48,357,055,775.15
  5. Step 5: Solve for x
    x = 48,357,055,775.15/280,955.98
  6. Step 6: Final answer
    x = 172,116.13

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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.