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Finding the Fourth Proportional to 314,920.96, 472,459.20 and 259,400.32

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Solution

The fourth proportional to 314,920.96, 472,459.20 and 259,400.32 is: 389,164.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,920.96 : 472,459.20 = 259,400.32 : x
  2. Step 2: Convert to fraction form
    314,920.96/472,459.20 = 259,400.32/x
  3. Step 3: Cross multiply
    314,920.96x = 472,459.20 × 259,400.32
  4. Step 4: Simplify right side
    314,920.96x = 122,556,067,666.94
  5. Step 5: Solve for x
    x = 122,556,067,666.94/314,920.96
  6. Step 6: Final answer
    x = 389,164.53

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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.