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Finding the Fourth Proportional to 296,641.30, 409,252 and 219,302.65

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Solution

The fourth proportional to 296,641.30, 409,252 and 219,302.65 is: 302,554.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,641.30 : 409,252 = 219,302.65 : x
  2. Step 2: Convert to fraction form
    296,641.30/409,252 = 219,302.65/x
  3. Step 3: Cross multiply
    296,641.30x = 409,252 × 219,302.65
  4. Step 4: Simplify right side
    296,641.30x = 89,750,048,117.80
  5. Step 5: Solve for x
    x = 89,750,048,117.80/296,641.30
  6. Step 6: Final answer
    x = 302,554.12

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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.