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Finding the Fourth Proportional to 233,740.40, 349,919.40 and 208,857.20

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Solution

The fourth proportional to 233,740.40, 349,919.40 and 208,857.20 is: 312,668.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,740.40 : 349,919.40 = 208,857.20 : x
  2. Step 2: Convert to fraction form
    233,740.40/349,919.40 = 208,857.20/x
  3. Step 3: Cross multiply
    233,740.40x = 349,919.40 × 208,857.20
  4. Step 4: Simplify right side
    233,740.40x = 73,083,186,109.68
  5. Step 5: Solve for x
    x = 73,083,186,109.68/233,740.40
  6. Step 6: Final answer
    x = 312,668.18

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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.