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Finding the Fourth Proportional to 340,360.95, 469,690.34 and 213,106.71

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Solution

The fourth proportional to 340,360.95, 469,690.34 and 213,106.71 is: 294,082.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,360.95 : 469,690.34 = 213,106.71 : x
  2. Step 2: Convert to fraction form
    340,360.95/469,690.34 = 213,106.71/x
  3. Step 3: Cross multiply
    340,360.95x = 469,690.34 × 213,106.71
  4. Step 4: Simplify right side
    340,360.95x = 100,094,162,010.65
  5. Step 5: Solve for x
    x = 100,094,162,010.65/340,360.95
  6. Step 6: Final answer
    x = 294,082.39

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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.