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Finding the Fourth Proportional to 270,825.29, 406,106.71 and 135,831.36

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Solution

The fourth proportional to 270,825.29, 406,106.71 and 135,831.36 is: 203,681.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,825.29 : 406,106.71 = 135,831.36 : x
  2. Step 2: Convert to fraction form
    270,825.29/406,106.71 = 135,831.36/x
  3. Step 3: Cross multiply
    270,825.29x = 406,106.71 × 135,831.36
  4. Step 4: Simplify right side
    270,825.29x = 55,162,024,693.89
  5. Step 5: Solve for x
    x = 55,162,024,693.89/270,825.29
  6. Step 6: Final answer
    x = 203,681.22

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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.