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Finding the Fourth Proportional to 487,053.54, 730,653.21 and 171,454.86

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Solution

The fourth proportional to 487,053.54, 730,653.21 and 171,454.86 is: 257,207.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    487,053.54 : 730,653.21 = 171,454.86 : x
  2. Step 2: Convert to fraction form
    487,053.54/730,653.21 = 171,454.86/x
  3. Step 3: Cross multiply
    487,053.54x = 730,653.21 × 171,454.86
  4. Step 4: Simplify right side
    487,053.54x = 125,274,043,829.10
  5. Step 5: Solve for x
    x = 125,274,043,829.10/487,053.54
  6. Step 6: Final answer
    x = 257,207.95

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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.