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Finding the Fourth Proportional to 381,903.18, 527,011.65 and 212,148.06

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Solution

The fourth proportional to 381,903.18, 527,011.65 and 212,148.06 is: 292,756.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,903.18 : 527,011.65 = 212,148.06 : x
  2. Step 2: Convert to fraction form
    381,903.18/527,011.65 = 212,148.06/x
  3. Step 3: Cross multiply
    381,903.18x = 527,011.65 × 212,148.06
  4. Step 4: Simplify right side
    381,903.18x = 111,804,499,144.90
  5. Step 5: Solve for x
    x = 111,804,499,144.90/381,903.18
  6. Step 6: Final answer
    x = 292,756.14

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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.