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Finding the Fourth Proportional to 378,750.18, 522,686.10 and 208,995.24

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Solution

The fourth proportional to 378,750.18, 522,686.10 and 208,995.24 is: 288,419.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,750.18 : 522,686.10 = 208,995.24 : x
  2. Step 2: Convert to fraction form
    378,750.18/522,686.10 = 208,995.24/x
  3. Step 3: Cross multiply
    378,750.18x = 522,686.10 × 208,995.24
  4. Step 4: Simplify right side
    378,750.18x = 109,238,906,914.16
  5. Step 5: Solve for x
    x = 109,238,906,914.16/378,750.18
  6. Step 6: Final answer
    x = 288,419.42

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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.