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Finding the Fourth Proportional to 387,314.37, 581,102.78 and 197,854.56

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Solution

The fourth proportional to 387,314.37, 581,102.78 and 197,854.56 is: 296,848.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    387,314.37 : 581,102.78 = 197,854.56 : x
  2. Step 2: Convert to fraction form
    387,314.37/581,102.78 = 197,854.56/x
  3. Step 3: Cross multiply
    387,314.37x = 581,102.78 × 197,854.56
  4. Step 4: Simplify right side
    387,314.37x = 114,973,833,862.40
  5. Step 5: Solve for x
    x = 114,973,833,862.40/387,314.37
  6. Step 6: Final answer
    x = 296,848.87

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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.