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Finding the Fourth Proportional to 864,735, 1,297,084.51 and 288,399.79

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Solution

The fourth proportional to 864,735, 1,297,084.51 and 288,399.79 is: 432,593.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    864,735 : 1,297,084.51 = 288,399.79 : x
  2. Step 2: Convert to fraction form
    864,735/1,297,084.51 = 288,399.79/x
  3. Step 3: Cross multiply
    864,735x = 1,297,084.51 × 288,399.79
  4. Step 4: Simplify right side
    864,735x = 374,078,900,296.25
  5. Step 5: Solve for x
    x = 374,078,900,296.25/864,735
  6. Step 6: Final answer
    x = 432,593.69

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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.