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Finding the Fourth Proportional to 542,883.30, 813,795.45 and 258,497.43

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Solution

The fourth proportional to 542,883.30, 813,795.45 and 258,497.43 is: 387,494.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    542,883.30 : 813,795.45 = 258,497.43 : x
  2. Step 2: Convert to fraction form
    542,883.30/813,795.45 = 258,497.43/x
  3. Step 3: Cross multiply
    542,883.30x = 813,795.45 × 258,497.43
  4. Step 4: Simplify right side
    542,883.30x = 210,364,032,370.69
  5. Step 5: Solve for x
    x = 210,364,032,370.69/542,883.30
  6. Step 6: Final answer
    x = 387,494.02

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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.