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Finding the Fourth Proportional to 258,856.89, 357,246.63 and 151,420.11

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Solution

The fourth proportional to 258,856.89, 357,246.63 and 151,420.11 is: 208,973.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,856.89 : 357,246.63 = 151,420.11 : x
  2. Step 2: Convert to fraction form
    258,856.89/357,246.63 = 151,420.11/x
  3. Step 3: Cross multiply
    258,856.89x = 357,246.63 × 151,420.11
  4. Step 4: Simplify right side
    258,856.89x = 54,094,324,011.73
  5. Step 5: Solve for x
    x = 54,094,324,011.73/258,856.89
  6. Step 6: Final answer
    x = 208,973.86

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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.