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Finding the Fourth Proportional to 278,805.78, 417,973.68 and 120,915.36

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Solution

The fourth proportional to 278,805.78, 417,973.68 and 120,915.36 is: 181,271.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,805.78 : 417,973.68 = 120,915.36 : x
  2. Step 2: Convert to fraction form
    278,805.78/417,973.68 = 120,915.36/x
  3. Step 3: Cross multiply
    278,805.78x = 417,973.68 × 120,915.36
  4. Step 4: Simplify right side
    278,805.78x = 50,539,437,987.72
  5. Step 5: Solve for x
    x = 50,539,437,987.72/278,805.78
  6. Step 6: Final answer
    x = 181,271.13

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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.