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Finding the Fourth Proportional to 370,196.90, 510,875.12 and 217,237.65

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Solution

The fourth proportional to 370,196.90, 510,875.12 and 217,237.65 is: 299,789.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    370,196.90 : 510,875.12 = 217,237.65 : x
  2. Step 2: Convert to fraction form
    370,196.90/510,875.12 = 217,237.65/x
  3. Step 3: Cross multiply
    370,196.90x = 510,875.12 × 217,237.65
  4. Step 4: Simplify right side
    370,196.90x = 110,981,309,426.08
  5. Step 5: Solve for x
    x = 110,981,309,426.08/370,196.90
  6. Step 6: Final answer
    x = 299,789.95

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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.