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Finding the Fourth Proportional to 505,678.52, 697,834.23 and 279,324.02

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Solution

The fourth proportional to 505,678.52, 697,834.23 and 279,324.02 is: 385,465.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    505,678.52 : 697,834.23 = 279,324.02 : x
  2. Step 2: Convert to fraction form
    505,678.52/697,834.23 = 279,324.02/x
  3. Step 3: Cross multiply
    505,678.52x = 697,834.23 × 279,324.02
  4. Step 4: Simplify right side
    505,678.52x = 194,921,862,417.21
  5. Step 5: Solve for x
    x = 194,921,862,417.21/505,678.52
  6. Step 6: Final answer
    x = 385,465.97

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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.