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Finding the Fourth Proportional to 508,101.95, 761,488.52 and 208,231.45

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Solution

The fourth proportional to 508,101.95, 761,488.52 and 208,231.45 is: 312,074.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    508,101.95 : 761,488.52 = 208,231.45 : x
  2. Step 2: Convert to fraction form
    508,101.95/761,488.52 = 208,231.45/x
  3. Step 3: Cross multiply
    508,101.95x = 761,488.52 × 208,231.45
  4. Step 4: Simplify right side
    508,101.95x = 158,565,857,294.81
  5. Step 5: Solve for x
    x = 158,565,857,294.81/508,101.95
  6. Step 6: Final answer
    x = 312,074.88

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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.