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Finding the Fourth Proportional to 403,107.84, 604,661.76 and 286,190.82

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Solution

The fourth proportional to 403,107.84, 604,661.76 and 286,190.82 is: 429,286.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    403,107.84 : 604,661.76 = 286,190.82 : x
  2. Step 2: Convert to fraction form
    403,107.84/604,661.76 = 286,190.82/x
  3. Step 3: Cross multiply
    403,107.84x = 604,661.76 × 286,190.82
  4. Step 4: Simplify right side
    403,107.84x = 173,048,644,917.04
  5. Step 5: Solve for x
    x = 173,048,644,917.04/403,107.84
  6. Step 6: Final answer
    x = 429,286.23

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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.