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Finding the Fourth Proportional to 587,216.87, 810,345.92 and 342,186.30

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Solution

The fourth proportional to 587,216.87, 810,345.92 and 342,186.30 is: 472,209.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    587,216.87 : 810,345.92 = 342,186.30 : x
  2. Step 2: Convert to fraction form
    587,216.87/810,345.92 = 342,186.30/x
  3. Step 3: Cross multiply
    587,216.87x = 810,345.92 × 342,186.30
  4. Step 4: Simplify right side
    587,216.87x = 277,289,270,019.67
  5. Step 5: Solve for x
    x = 277,289,270,019.67/587,216.87
  6. Step 6: Final answer
    x = 472,209.31

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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.