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Finding the Fourth Proportional to 503,053.04, 694,259.16 and 288,262.64

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Solution

The fourth proportional to 503,053.04, 694,259.16 and 288,262.64 is: 397,828.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    503,053.04 : 694,259.16 = 288,262.64 : x
  2. Step 2: Convert to fraction form
    503,053.04/694,259.16 = 288,262.64/x
  3. Step 3: Cross multiply
    503,053.04x = 694,259.16 × 288,262.64
  4. Step 4: Simplify right side
    503,053.04x = 200,128,978,305.78
  5. Step 5: Solve for x
    x = 200,128,978,305.78/503,053.04
  6. Step 6: Final answer
    x = 397,828.78

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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.