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Finding the Fourth Proportional to 252,259.89, 378,482.12 and 117,388.31

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Solution

The fourth proportional to 252,259.89, 378,482.12 and 117,388.31 is: 176,125.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,259.89 : 378,482.12 = 117,388.31 : x
  2. Step 2: Convert to fraction form
    252,259.89/378,482.12 = 117,388.31/x
  3. Step 3: Cross multiply
    252,259.89x = 378,482.12 × 117,388.31
  4. Step 4: Simplify right side
    252,259.89x = 44,429,373,952.67
  5. Step 5: Solve for x
    x = 44,429,373,952.67/252,259.89
  6. Step 6: Final answer
    x = 176,125.40

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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.