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Finding the Fourth Proportional to 391,782.50, 587,673.66 and 258,631.58

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Solution

The fourth proportional to 391,782.50, 587,673.66 and 258,631.58 is: 387,947.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    391,782.50 : 587,673.66 = 258,631.58 : x
  2. Step 2: Convert to fraction form
    391,782.50/587,673.66 = 258,631.58/x
  3. Step 3: Cross multiply
    391,782.50x = 587,673.66 × 258,631.58
  4. Step 4: Simplify right side
    391,782.50x = 151,990,967,210.18
  5. Step 5: Solve for x
    x = 151,990,967,210.18/391,782.50
  6. Step 6: Final answer
    x = 387,947.31

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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.