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Finding the Fourth Proportional to 404,874, 607,681.32 and 205,332.08

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Solution

The fourth proportional to 404,874, 607,681.32 and 205,332.08 is: 308,185.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    404,874 : 607,681.32 = 205,332.08 : x
  2. Step 2: Convert to fraction form
    404,874/607,681.32 = 205,332.08/x
  3. Step 3: Cross multiply
    404,874x = 607,681.32 × 205,332.08
  4. Step 4: Simplify right side
    404,874x = 124,776,469,412.75
  5. Step 5: Solve for x
    x = 124,776,469,412.75/404,874
  6. Step 6: Final answer
    x = 308,185.93

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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.