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Finding the Fourth Proportional to 513,331, 708,401.22 and 286,976.50

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Solution

The fourth proportional to 513,331, 708,401.22 and 286,976.50 is: 396,030.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    513,331 : 708,401.22 = 286,976.50 : x
  2. Step 2: Convert to fraction form
    513,331/708,401.22 = 286,976.50/x
  3. Step 3: Cross multiply
    513,331x = 708,401.22 × 286,976.50
  4. Step 4: Simplify right side
    513,331x = 203,294,502,711.33
  5. Step 5: Solve for x
    x = 203,294,502,711.33/513,331
  6. Step 6: Final answer
    x = 396,030.05

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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.