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Finding the Fourth Proportional to 508,101.67, 761,488.10 and 208,231.17

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Solution

The fourth proportional to 508,101.67, 761,488.10 and 208,231.17 is: 312,074.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    508,101.67 : 761,488.10 = 208,231.17 : x
  2. Step 2: Convert to fraction form
    508,101.67/761,488.10 = 208,231.17/x
  3. Step 3: Cross multiply
    508,101.67x = 761,488.10 × 208,231.17
  4. Step 4: Simplify right side
    508,101.67x = 158,565,554,888.21
  5. Step 5: Solve for x
    x = 158,565,554,888.21/508,101.67
  6. Step 6: Final answer
    x = 312,074.46

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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.