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Finding the Fourth Proportional to 505,044, 696,975.30 and 278,704.08

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Solution

The fourth proportional to 505,044, 696,975.30 and 278,704.08 is: 384,619.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    505,044 : 696,975.30 = 278,704.08 : x
  2. Step 2: Convert to fraction form
    505,044/696,975.30 = 278,704.08/x
  3. Step 3: Cross multiply
    505,044x = 696,975.30 × 278,704.08
  4. Step 4: Simplify right side
    505,044x = 194,249,859,769.22
  5. Step 5: Solve for x
    x = 194,249,859,769.22/505,044
  6. Step 6: Final answer
    x = 384,619.68

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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.