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Finding the Fourth Proportional to 382,189.04, 527,438.76 and 212,426

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Solution

The fourth proportional to 382,189.04, 527,438.76 and 212,426 is: 293,157.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,189.04 : 527,438.76 = 212,426 : x
  2. Step 2: Convert to fraction form
    382,189.04/527,438.76 = 212,426/x
  3. Step 3: Cross multiply
    382,189.04x = 527,438.76 × 212,426
  4. Step 4: Simplify right side
    382,189.04x = 112,041,706,031.76
  5. Step 5: Solve for x
    x = 112,041,706,031.76/382,189.04
  6. Step 6: Final answer
    x = 293,157.82

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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.