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Finding the Fourth Proportional to 508,228.98, 762,290 and 208,741.20

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Solution

The fourth proportional to 508,228.98, 762,290 and 208,741.20 is: 313,089.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    508,228.98 : 762,290 = 208,741.20 : x
  2. Step 2: Convert to fraction form
    508,228.98/762,290 = 208,741.20/x
  3. Step 3: Cross multiply
    508,228.98x = 762,290 × 208,741.20
  4. Step 4: Simplify right side
    508,228.98x = 159,121,329,348
  5. Step 5: Solve for x
    x = 159,121,329,348/508,228.98
  6. Step 6: Final answer
    x = 313,089.84

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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.