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Finding the Fourth Proportional to 367,406.96, 551,145.29 and 142,784.74

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Solution

The fourth proportional to 367,406.96, 551,145.29 and 142,784.74 is: 214,190.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    367,406.96 : 551,145.29 = 142,784.74 : x
  2. Step 2: Convert to fraction form
    367,406.96/551,145.29 = 142,784.74/x
  3. Step 3: Cross multiply
    367,406.96x = 551,145.29 × 142,784.74
  4. Step 4: Simplify right side
    367,406.96x = 78,695,136,909.88
  5. Step 5: Solve for x
    x = 78,695,136,909.88/367,406.96
  6. Step 6: Final answer
    x = 214,190.66

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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.