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Finding the Fourth Proportional to 518,488.56, 715,514.16 and 280,024.56

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Solution

The fourth proportional to 518,488.56, 715,514.16 and 280,024.56 is: 386,433.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    518,488.56 : 715,514.16 = 280,024.56 : x
  2. Step 2: Convert to fraction form
    518,488.56/715,514.16 = 280,024.56/x
  3. Step 3: Cross multiply
    518,488.56x = 715,514.16 × 280,024.56
  4. Step 4: Simplify right side
    518,488.56x = 200,361,537,827.77
  5. Step 5: Solve for x
    x = 200,361,537,827.77/518,488.56
  6. Step 6: Final answer
    x = 386,433.86

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1.5x scale

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.