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Finding the Fourth Proportional to 506,920.50, 699,502.80 and 302,930.82

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Solution

The fourth proportional to 506,920.50, 699,502.80 and 302,930.82 is: 418,016.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    506,920.50 : 699,502.80 = 302,930.82 : x
  2. Step 2: Convert to fraction form
    506,920.50/699,502.80 = 302,930.82/x
  3. Step 3: Cross multiply
    506,920.50x = 699,502.80 × 302,930.82
  4. Step 4: Simplify right side
    506,920.50x = 211,900,956,796.30
  5. Step 5: Solve for x
    x = 211,900,956,796.30/506,920.50
  6. Step 6: Final answer
    x = 418,016.15

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.