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Finding the Fourth Proportional to 487,138.80, 730,708.20 and 310,429.20

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Solution

The fourth proportional to 487,138.80, 730,708.20 and 310,429.20 is: 465,643.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    487,138.80 : 730,708.20 = 310,429.20 : x
  2. Step 2: Convert to fraction form
    487,138.80/730,708.20 = 310,429.20/x
  3. Step 3: Cross multiply
    487,138.80x = 730,708.20 × 310,429.20
  4. Step 4: Simplify right side
    487,138.80x = 226,833,161,959.44
  5. Step 5: Solve for x
    x = 226,833,161,959.44/487,138.80
  6. Step 6: Final answer
    x = 465,643.80

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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.