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Finding the Fourth Proportional to 802,295.79, 1,200,731.13 and 780,706.14

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Solution

The fourth proportional to 802,295.79, 1,200,731.13 and 780,706.14 is: 1,168,419.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    802,295.79 : 1,200,731.13 = 780,706.14 : x
  2. Step 2: Convert to fraction form
    802,295.79/1,200,731.13 = 780,706.14/x
  3. Step 3: Cross multiply
    802,295.79x = 1,200,731.13 × 780,706.14
  4. Step 4: Simplify right side
    802,295.79x = 937,418,165,680.14
  5. Step 5: Solve for x
    x = 937,418,165,680.14/802,295.79
  6. Step 6: Final answer
    x = 1,168,419.65

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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.