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Finding the Fourth Proportional to 289,342.80, 434,014.20 and 123,109.20

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Solution

The fourth proportional to 289,342.80, 434,014.20 and 123,109.20 is: 184,663.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,342.80 : 434,014.20 = 123,109.20 : x
  2. Step 2: Convert to fraction form
    289,342.80/434,014.20 = 123,109.20/x
  3. Step 3: Cross multiply
    289,342.80x = 434,014.20 × 123,109.20
  4. Step 4: Simplify right side
    289,342.80x = 53,431,140,950.64
  5. Step 5: Solve for x
    x = 53,431,140,950.64/289,342.80
  6. Step 6: Final answer
    x = 184,663.80

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1.5x scale

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.