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Finding the Fourth Proportional to 978,862, 1,468,117.40 and 259,208.24

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Solution

The fourth proportional to 978,862, 1,468,117.40 and 259,208.24 is: 388,765.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    978,862 : 1,468,117.40 = 259,208.24 : x
  2. Step 2: Convert to fraction form
    978,862/1,468,117.40 = 259,208.24/x
  3. Step 3: Cross multiply
    978,862x = 1,468,117.40 × 259,208.24
  4. Step 4: Simplify right side
    978,862x = 380,548,127,367.38
  5. Step 5: Solve for x
    x = 380,548,127,367.38/978,862
  6. Step 6: Final answer
    x = 388,765.86

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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.