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Finding the Fourth Proportional to 382,407.62, 527,700.84 and 212,638.10

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Solution

The fourth proportional to 382,407.62, 527,700.84 and 212,638.10 is: 293,428.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,407.62 : 527,700.84 = 212,638.10 : x
  2. Step 2: Convert to fraction form
    382,407.62/527,700.84 = 212,638.10/x
  3. Step 3: Cross multiply
    382,407.62x = 527,700.84 × 212,638.10
  4. Step 4: Simplify right side
    382,407.62x = 112,209,303,986.00
  5. Step 5: Solve for x
    x = 112,209,303,986.00/382,407.62
  6. Step 6: Final answer
    x = 293,428.53

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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.