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Finding the Fourth Proportional to 402,408.59, 555,164.73 and 259,252.13

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Solution

The fourth proportional to 402,408.59, 555,164.73 and 259,252.13 is: 357,665.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,408.59 : 555,164.73 = 259,252.13 : x
  2. Step 2: Convert to fraction form
    402,408.59/555,164.73 = 259,252.13/x
  3. Step 3: Cross multiply
    402,408.59x = 555,164.73 × 259,252.13
  4. Step 4: Simplify right side
    402,408.59x = 143,927,635,977.55
  5. Step 5: Solve for x
    x = 143,927,635,977.55/402,408.59
  6. Step 6: Final answer
    x = 357,665.42

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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.