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Finding the Fourth Proportional to 258,416, 356,642.49 and 148,045.13

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Solution

The fourth proportional to 258,416, 356,642.49 and 148,045.13 is: 204,318.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,416 : 356,642.49 = 148,045.13 : x
  2. Step 2: Convert to fraction form
    258,416/356,642.49 = 148,045.13/x
  3. Step 3: Cross multiply
    258,416x = 356,642.49 × 148,045.13
  4. Step 4: Simplify right side
    258,416x = 52,799,183,795.57
  5. Step 5: Solve for x
    x = 52,799,183,795.57/258,416
  6. Step 6: Final answer
    x = 204,318.56

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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.