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Finding the Fourth Proportional to 390,080, 538,310.40 and 211,232

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Solution

The fourth proportional to 390,080, 538,310.40 and 211,232 is: 291,500.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    390,080 : 538,310.40 = 211,232 : x
  2. Step 2: Convert to fraction form
    390,080/538,310.40 = 211,232/x
  3. Step 3: Cross multiply
    390,080x = 538,310.40 × 211,232
  4. Step 4: Simplify right side
    390,080x = 113,708,382,412.80
  5. Step 5: Solve for x
    x = 113,708,382,412.80/390,080
  6. Step 6: Final answer
    x = 291,500.16

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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.