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Finding the Fourth Proportional to 280,433.88, 420,646.77 and 130,590.36

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Solution

The fourth proportional to 280,433.88, 420,646.77 and 130,590.36 is: 195,883.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,433.88 : 420,646.77 = 130,590.36 : x
  2. Step 2: Convert to fraction form
    280,433.88/420,646.77 = 130,590.36/x
  3. Step 3: Cross multiply
    280,433.88x = 420,646.77 × 130,590.36
  4. Step 4: Simplify right side
    280,433.88x = 54,932,413,127.14
  5. Step 5: Solve for x
    x = 54,932,413,127.14/280,433.88
  6. Step 6: Final answer
    x = 195,883.65

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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.