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Finding the Fourth Proportional to 492,084.65, 679,091.21 and 288,116.48

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Solution

The fourth proportional to 492,084.65, 679,091.21 and 288,116.48 is: 397,609.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    492,084.65 : 679,091.21 = 288,116.48 : x
  2. Step 2: Convert to fraction form
    492,084.65/679,091.21 = 288,116.48/x
  3. Step 3: Cross multiply
    492,084.65x = 679,091.21 × 288,116.48
  4. Step 4: Simplify right side
    492,084.65x = 195,657,369,281.29
  5. Step 5: Solve for x
    x = 195,657,369,281.29/492,084.65
  6. Step 6: Final answer
    x = 397,609.17

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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.