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Finding the Fourth Proportional to 349,344, 524,016 and 86,688

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Solution

The fourth proportional to 349,344, 524,016 and 86,688 is: 130,032

Step by Step Solution

  1. Step 1: Write the proportion equation
    349,344 : 524,016 = 86,688 : x
  2. Step 2: Convert to fraction form
    349,344/524,016 = 86,688/x
  3. Step 3: Cross multiply
    349,344x = 524,016 × 86,688
  4. Step 4: Simplify right side
    349,344x = 45,425,899,008
  5. Step 5: Solve for x
    x = 45,425,899,008/349,344
  6. Step 6: Final answer
    x = 130,032

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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.