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Finding the Fourth Proportional to 349,640.40, 524,719.80 and 231,272.40

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Solution

The fourth proportional to 349,640.40, 524,719.80 and 231,272.40 is: 347,080.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    349,640.40 : 524,719.80 = 231,272.40 : x
  2. Step 2: Convert to fraction form
    349,640.40/524,719.80 = 231,272.40/x
  3. Step 3: Cross multiply
    349,640.40x = 524,719.80 × 231,272.40
  4. Step 4: Simplify right side
    349,640.40x = 121,353,207,473.52
  5. Step 5: Solve for x
    x = 121,353,207,473.52/349,640.40
  6. Step 6: Final answer
    x = 347,080.05

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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.