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Finding the Fourth Proportional to 410,282.82, 615,110.31 and 338,981.04

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Solution

The fourth proportional to 410,282.82, 615,110.31 and 338,981.04 is: 508,212.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,282.82 : 615,110.31 = 338,981.04 : x
  2. Step 2: Convert to fraction form
    410,282.82/615,110.31 = 338,981.04/x
  3. Step 3: Cross multiply
    410,282.82x = 615,110.31 × 338,981.04
  4. Step 4: Simplify right side
    410,282.82x = 208,510,732,598.52
  5. Step 5: Solve for x
    x = 208,510,732,598.52/410,282.82
  6. Step 6: Final answer
    x = 508,212.20

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.