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Finding the Fourth Proportional to 802,282.67, 1,200,711.47 and 780,693.02

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Solution

The fourth proportional to 802,282.67, 1,200,711.47 and 780,693.02 is: 1,168,399.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    802,282.67 : 1,200,711.47 = 780,693.02 : x
  2. Step 2: Convert to fraction form
    802,282.67/1,200,711.47 = 780,693.02/x
  3. Step 3: Cross multiply
    802,282.67x = 1,200,711.47 × 780,693.02
  4. Step 4: Simplify right side
    802,282.67x = 937,387,053,755.92
  5. Step 5: Solve for x
    x = 937,387,053,755.92/802,282.67
  6. Step 6: Final answer
    x = 1,168,399.99

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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.