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Finding the Fourth Proportional to 410,285.82, 615,114.81 and 338,984.04

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Solution

The fourth proportional to 410,285.82, 615,114.81 and 338,984.04 is: 508,216.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,285.82 : 615,114.81 = 338,984.04 : x
  2. Step 2: Convert to fraction form
    410,285.82/615,114.81 = 338,984.04/x
  3. Step 3: Cross multiply
    410,285.82x = 615,114.81 × 338,984.04
  4. Step 4: Simplify right side
    410,285.82x = 208,514,103,357.63
  5. Step 5: Solve for x
    x = 208,514,103,357.63/410,285.82
  6. Step 6: Final answer
    x = 508,216.69

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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.