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Finding the Fourth Proportional to 410,834.51, 615,843.52 and 285,913.07

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Solution

The fourth proportional to 410,834.51, 615,843.52 and 285,913.07 is: 428,585.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,834.51 : 615,843.52 = 285,913.07 : x
  2. Step 2: Convert to fraction form
    410,834.51/615,843.52 = 285,913.07/x
  3. Step 3: Cross multiply
    410,834.51x = 615,843.52 × 285,913.07
  4. Step 4: Simplify right side
    410,834.51x = 176,077,711,442.81
  5. Step 5: Solve for x
    x = 176,077,711,442.81/410,834.51
  6. Step 6: Final answer
    x = 428,585.49

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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.