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Finding the Fourth Proportional to 505,428.83, 697,495.16 and 275,987.71

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Solution

The fourth proportional to 505,428.83, 697,495.16 and 275,987.71 is: 380,864.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    505,428.83 : 697,495.16 = 275,987.71 : x
  2. Step 2: Convert to fraction form
    505,428.83/697,495.16 = 275,987.71/x
  3. Step 3: Cross multiply
    505,428.83x = 697,495.16 × 275,987.71
  4. Step 4: Simplify right side
    505,428.83x = 192,500,091,944.48
  5. Step 5: Solve for x
    x = 192,500,091,944.48/505,428.83
  6. Step 6: Final answer
    x = 380,864.88

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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.