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Finding the Fourth Proportional to 431,017.71, 645,856.02 and 164,632.83

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Solution

The fourth proportional to 431,017.71, 645,856.02 and 164,632.83 is: 246,693.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,017.71 : 645,856.02 = 164,632.83 : x
  2. Step 2: Convert to fraction form
    431,017.71/645,856.02 = 164,632.83/x
  3. Step 3: Cross multiply
    431,017.71x = 645,856.02 × 164,632.83
  4. Step 4: Simplify right side
    431,017.71x = 106,329,104,345.14
  5. Step 5: Solve for x
    x = 106,329,104,345.14/431,017.71
  6. Step 6: Final answer
    x = 246,693.12

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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.