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Finding the Fourth Proportional to 503,714.40, 755,134.20 and 303,822.60

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Solution

The fourth proportional to 503,714.40, 755,134.20 and 303,822.60 is: 455,470.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    503,714.40 : 755,134.20 = 303,822.60 : x
  2. Step 2: Convert to fraction form
    503,714.40/755,134.20 = 303,822.60/x
  3. Step 3: Cross multiply
    503,714.40x = 755,134.20 × 303,822.60
  4. Step 4: Simplify right side
    503,714.40x = 229,426,835,992.92
  5. Step 5: Solve for x
    x = 229,426,835,992.92/503,714.40
  6. Step 6: Final answer
    x = 455,470.08

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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.