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Finding the Fourth Proportional to 402,409.35, 555,165.77 and 259,252.88

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Solution

The fourth proportional to 402,409.35, 555,165.77 and 259,252.88 is: 357,666.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,409.35 : 555,165.77 = 259,252.88 : x
  2. Step 2: Convert to fraction form
    402,409.35/555,165.77 = 259,252.88/x
  3. Step 3: Cross multiply
    402,409.35x = 555,165.77 × 259,252.88
  4. Step 4: Simplify right side
    402,409.35x = 143,928,320,677.82
  5. Step 5: Solve for x
    x = 143,928,320,677.82/402,409.35
  6. Step 6: Final answer
    x = 357,666.44

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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.