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Finding the Fourth Proportional to 487,191.30, 730,770.54 and 171,640

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Solution

The fourth proportional to 487,191.30, 730,770.54 and 171,640 is: 257,454.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    487,191.30 : 730,770.54 = 171,640 : x
  2. Step 2: Convert to fraction form
    487,191.30/730,770.54 = 171,640/x
  3. Step 3: Cross multiply
    487,191.30x = 730,770.54 × 171,640
  4. Step 4: Simplify right side
    487,191.30x = 125,429,455,485.60
  5. Step 5: Solve for x
    x = 125,429,455,485.60/487,191.30
  6. Step 6: Final answer
    x = 257,454.22

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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.