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Finding the Fourth Proportional to 529,494.46, 730,707.14 and 287,777.61

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Solution

The fourth proportional to 529,494.46, 730,707.14 and 287,777.61 is: 397,135.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    529,494.46 : 730,707.14 = 287,777.61 : x
  2. Step 2: Convert to fraction form
    529,494.46/730,707.14 = 287,777.61/x
  3. Step 3: Cross multiply
    529,494.46x = 730,707.14 × 287,777.61
  4. Step 4: Simplify right side
    529,494.46x = 210,281,155,078.58
  5. Step 5: Solve for x
    x = 210,281,155,078.58/529,494.46
  6. Step 6: Final answer
    x = 397,135.71

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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.