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Finding the Fourth Proportional to 326,114.40, 488,588.40 and 275,959.20

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Solution

The fourth proportional to 326,114.40, 488,588.40 and 275,959.20 is: 413,445.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    326,114.40 : 488,588.40 = 275,959.20 : x
  2. Step 2: Convert to fraction form
    326,114.40/488,588.40 = 275,959.20/x
  3. Step 3: Cross multiply
    326,114.40x = 488,588.40 × 275,959.20
  4. Step 4: Simplify right side
    326,114.40x = 134,830,463,993.28
  5. Step 5: Solve for x
    x = 134,830,463,993.28/326,114.40
  6. Step 6: Final answer
    x = 413,445.29

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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.