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Finding the Fourth Proportional to 275,958, 380,822.40 and 156,726

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Solution

The fourth proportional to 275,958, 380,822.40 and 156,726 is: 216,282.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,958 : 380,822.40 = 156,726 : x
  2. Step 2: Convert to fraction form
    275,958/380,822.40 = 156,726/x
  3. Step 3: Cross multiply
    275,958x = 380,822.40 × 156,726
  4. Step 4: Simplify right side
    275,958x = 59,684,771,462.40
  5. Step 5: Solve for x
    x = 59,684,771,462.40/275,958
  6. Step 6: Final answer
    x = 216,282.08

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.