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Finding the Fourth Proportional to 587,175.68, 810,289.17 and 342,145.28

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Solution

The fourth proportional to 587,175.68, 810,289.17 and 342,145.28 is: 472,152.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    587,175.68 : 810,289.17 = 342,145.28 : x
  2. Step 2: Convert to fraction form
    587,175.68/810,289.17 = 342,145.28/x
  3. Step 3: Cross multiply
    587,175.68x = 810,289.17 × 342,145.28
  4. Step 4: Simplify right side
    587,175.68x = 277,236,616,976.34
  5. Step 5: Solve for x
    x = 277,236,616,976.34/587,175.68
  6. Step 6: Final answer
    x = 472,152.76

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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.