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Finding the Fourth Proportional to 508,139.70, 761,723.55 and 188,205.90

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Solution

The fourth proportional to 508,139.70, 761,723.55 and 188,205.90 is: 282,128.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    508,139.70 : 761,723.55 = 188,205.90 : x
  2. Step 2: Convert to fraction form
    508,139.70/761,723.55 = 188,205.90/x
  3. Step 3: Cross multiply
    508,139.70x = 761,723.55 × 188,205.90
  4. Step 4: Simplify right side
    508,139.70x = 143,360,866,278.95
  5. Step 5: Solve for x
    x = 143,360,866,278.95/508,139.70
  6. Step 6: Final answer
    x = 282,128.84

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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.