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Finding the Fourth Proportional to 505,093.76, 697,002.24 and 314,101.76

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Solution

The fourth proportional to 505,093.76, 697,002.24 and 314,101.76 is: 433,443.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    505,093.76 : 697,002.24 = 314,101.76 : x
  2. Step 2: Convert to fraction form
    505,093.76/697,002.24 = 314,101.76/x
  3. Step 3: Cross multiply
    505,093.76x = 697,002.24 × 314,101.76
  4. Step 4: Simplify right side
    505,093.76x = 218,929,630,307.94
  5. Step 5: Solve for x
    x = 218,929,630,307.94/505,093.76
  6. Step 6: Final answer
    x = 433,443.55

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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.