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Finding the Fourth Proportional to 503,243.93, 694,495.73 and 288,425.45

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Solution

The fourth proportional to 503,243.93, 694,495.73 and 288,425.45 is: 398,038.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    503,243.93 : 694,495.73 = 288,425.45 : x
  2. Step 2: Convert to fraction form
    503,243.93/694,495.73 = 288,425.45/x
  3. Step 3: Cross multiply
    503,243.93x = 694,495.73 × 288,425.45
  4. Step 4: Simplify right side
    503,243.93x = 200,310,243,448.33
  5. Step 5: Solve for x
    x = 200,310,243,448.33/503,243.93
  6. Step 6: Final answer
    x = 398,038.07

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.