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Finding the Fourth Proportional to 390,407.53, 538,740.03 and 215,967.33

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Solution

The fourth proportional to 390,407.53, 538,740.03 and 215,967.33 is: 298,022.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    390,407.53 : 538,740.03 = 215,967.33 : x
  2. Step 2: Convert to fraction form
    390,407.53/538,740.03 = 215,967.33/x
  3. Step 3: Cross multiply
    390,407.53x = 538,740.03 × 215,967.33
  4. Step 4: Simplify right side
    390,407.53x = 116,350,245,843.22
  5. Step 5: Solve for x
    x = 116,350,245,843.22/390,407.53
  6. Step 6: Final answer
    x = 298,022.55

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.