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Finding the Fourth Proportional to 616,254.78, 923,791.65 and 260,779.80

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Solution

The fourth proportional to 616,254.78, 923,791.65 and 260,779.80 is: 390,919.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    616,254.78 : 923,791.65 = 260,779.80 : x
  2. Step 2: Convert to fraction form
    616,254.78/923,791.65 = 260,779.80/x
  3. Step 3: Cross multiply
    616,254.78x = 923,791.65 × 260,779.80
  4. Step 4: Simplify right side
    616,254.78x = 240,906,201,728.67
  5. Step 5: Solve for x
    x = 240,906,201,728.67/616,254.78
  6. Step 6: Final answer
    x = 390,919.81

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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.