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Finding the Fourth Proportional to 802,209.60, 1,203,022.80 and 402,717.60

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Solution

The fourth proportional to 802,209.60, 1,203,022.80 and 402,717.60 is: 603,930.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    802,209.60 : 1,203,022.80 = 402,717.60 : x
  2. Step 2: Convert to fraction form
    802,209.60/1,203,022.80 = 402,717.60/x
  3. Step 3: Cross multiply
    802,209.60x = 1,203,022.80 × 402,717.60
  4. Step 4: Simplify right side
    802,209.60x = 484,478,454,761.28
  5. Step 5: Solve for x
    x = 484,478,454,761.28/802,209.60
  6. Step 6: Final answer
    x = 603,930.01

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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.