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Finding the Fourth Proportional to 382,448.40, 527,727.60 and 212,649.84

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Solution

The fourth proportional to 382,448.40, 527,727.60 and 212,649.84 is: 293,428.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,448.40 : 527,727.60 = 212,649.84 : x
  2. Step 2: Convert to fraction form
    382,448.40/527,727.60 = 212,649.84/x
  3. Step 3: Cross multiply
    382,448.40x = 527,727.60 × 212,649.84
  4. Step 4: Simplify right side
    382,448.40x = 112,221,189,703.58
  5. Step 5: Solve for x
    x = 112,221,189,703.58/382,448.40
  6. Step 6: Final answer
    x = 293,428.32

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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.