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Finding the Fourth Proportional to 402,410.35, 555,167.14 and 259,253.88

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Solution

The fourth proportional to 402,410.35, 555,167.14 and 259,253.88 is: 357,667.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,410.35 : 555,167.14 = 259,253.88 : x
  2. Step 2: Convert to fraction form
    402,410.35/555,167.14 = 259,253.88/x
  3. Step 3: Cross multiply
    402,410.35x = 555,167.14 × 259,253.88
  4. Step 4: Simplify right side
    402,410.35x = 143,929,235,093.50
  5. Step 5: Solve for x
    x = 143,929,235,093.50/402,410.35
  6. Step 6: Final answer
    x = 357,667.83

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1.5x scale

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.