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Finding the Fourth Proportional to 349,416.42, 524,385 and 259,665.90

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Solution

The fourth proportional to 349,416.42, 524,385 and 259,665.90 is: 389,692.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    349,416.42 : 524,385 = 259,665.90 : x
  2. Step 2: Convert to fraction form
    349,416.42/524,385 = 259,665.90/x
  3. Step 3: Cross multiply
    349,416.42x = 524,385 × 259,665.90
  4. Step 4: Simplify right side
    349,416.42x = 136,164,902,971.50
  5. Step 5: Solve for x
    x = 136,164,902,971.50/349,416.42
  6. Step 6: Final answer
    x = 389,692.34

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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.