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Finding the Fourth Proportional to 518,328.40, 715,305 and 288,909.20

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Solution

The fourth proportional to 518,328.40, 715,305 and 288,909.20 is: 398,701.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    518,328.40 : 715,305 = 288,909.20 : x
  2. Step 2: Convert to fraction form
    518,328.40/715,305 = 288,909.20/x
  3. Step 3: Cross multiply
    518,328.40x = 715,305 × 288,909.20
  4. Step 4: Simplify right side
    518,328.40x = 206,658,195,306
  5. Step 5: Solve for x
    x = 206,658,195,306/518,328.40
  6. Step 6: Final answer
    x = 398,701.28

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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.