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Finding the Fourth Proportional to 278,051.86, 417,136.11 and 120,302.74

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Solution

The fourth proportional to 278,051.86, 417,136.11 and 120,302.74 is: 180,479.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,051.86 : 417,136.11 = 120,302.74 : x
  2. Step 2: Convert to fraction form
    278,051.86/417,136.11 = 120,302.74/x
  3. Step 3: Cross multiply
    278,051.86x = 417,136.11 × 120,302.74
  4. Step 4: Simplify right side
    278,051.86x = 50,182,616,985.94
  5. Step 5: Solve for x
    x = 50,182,616,985.94/278,051.86
  6. Step 6: Final answer
    x = 180,479.34

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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.