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Finding the Fourth Proportional to 508,227.98, 762,288.50 and 208,740.20

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Solution

The fourth proportional to 508,227.98, 762,288.50 and 208,740.20 is: 313,088.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    508,227.98 : 762,288.50 = 208,740.20 : x
  2. Step 2: Convert to fraction form
    508,227.98/762,288.50 = 208,740.20/x
  3. Step 3: Cross multiply
    508,227.98x = 762,288.50 × 208,740.20
  4. Step 4: Simplify right side
    508,227.98x = 159,120,250,658.11
  5. Step 5: Solve for x
    x = 159,120,250,658.11/508,227.98
  6. Step 6: Final answer
    x = 313,088.34

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1.5x scale

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.