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Finding the Fourth Proportional to 518,871.20, 715,933.08 and 315,029.24

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Solution

The fourth proportional to 518,871.20, 715,933.08 and 315,029.24 is: 434,674.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    518,871.20 : 715,933.08 = 315,029.24 : x
  2. Step 2: Convert to fraction form
    518,871.20/715,933.08 = 315,029.24/x
  3. Step 3: Cross multiply
    518,871.20x = 715,933.08 × 315,029.24
  4. Step 4: Simplify right side
    518,871.20x = 225,539,854,083.26
  5. Step 5: Solve for x
    x = 225,539,854,083.26/518,871.20
  6. Step 6: Final answer
    x = 434,674.07

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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.