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Finding the Fourth Proportional to 318,679.30, 439,780.35 and 175,442.50

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Solution

The fourth proportional to 318,679.30, 439,780.35 and 175,442.50 is: 242,112.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    318,679.30 : 439,780.35 = 175,442.50 : x
  2. Step 2: Convert to fraction form
    318,679.30/439,780.35 = 175,442.50/x
  3. Step 3: Cross multiply
    318,679.30x = 439,780.35 × 175,442.50
  4. Step 4: Simplify right side
    318,679.30x = 77,156,164,054.88
  5. Step 5: Solve for x
    x = 77,156,164,054.88/318,679.30
  6. Step 6: Final answer
    x = 242,112.26

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.