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Finding the Fourth Proportional to 382,299, 527,573.24 and 212,533.13

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Solution

The fourth proportional to 382,299, 527,573.24 and 212,533.13 is: 293,296.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,299 : 527,573.24 = 212,533.13 : x
  2. Step 2: Convert to fraction form
    382,299/527,573.24 = 212,533.13/x
  3. Step 3: Cross multiply
    382,299x = 527,573.24 × 212,533.13
  4. Step 4: Simplify right side
    382,299x = 112,126,788,300.91
  5. Step 5: Solve for x
    x = 112,126,788,300.91/382,299
  6. Step 6: Final answer
    x = 293,296.05

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1.5x scale

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.