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Finding the Fourth Proportional to 284,602.80, 426,904.19 and 107,149.62

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Solution

The fourth proportional to 284,602.80, 426,904.19 and 107,149.62 is: 160,724.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,602.80 : 426,904.19 = 107,149.62 : x
  2. Step 2: Convert to fraction form
    284,602.80/426,904.19 = 107,149.62/x
  3. Step 3: Cross multiply
    284,602.80x = 426,904.19 × 107,149.62
  4. Step 4: Simplify right side
    284,602.80x = 45,742,620,401.89
  5. Step 5: Solve for x
    x = 45,742,620,401.89/284,602.80
  6. Step 6: Final answer
    x = 160,724.42

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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.