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Finding the Fourth Proportional to 471,840, 651,139.20 and 259,872

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Solution

The fourth proportional to 471,840, 651,139.20 and 259,872 is: 358,623.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    471,840 : 651,139.20 = 259,872 : x
  2. Step 2: Convert to fraction form
    471,840/651,139.20 = 259,872/x
  3. Step 3: Cross multiply
    471,840x = 651,139.20 × 259,872
  4. Step 4: Simplify right side
    471,840x = 169,212,846,182.40
  5. Step 5: Solve for x
    x = 169,212,846,182.40/471,840
  6. Step 6: Final answer
    x = 358,623.36

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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.