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Finding the Fourth Proportional to 261,602, 361,138.76 and 175,530.20

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Solution

The fourth proportional to 261,602, 361,138.76 and 175,530.20 is: 242,317.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,602 : 361,138.76 = 175,530.20 : x
  2. Step 2: Convert to fraction form
    261,602/361,138.76 = 175,530.20/x
  3. Step 3: Cross multiply
    261,602x = 361,138.76 × 175,530.20
  4. Step 4: Simplify right side
    261,602x = 63,390,758,770.55
  5. Step 5: Solve for x
    x = 63,390,758,770.55/261,602
  6. Step 6: Final answer
    x = 242,317.56

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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.