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Finding the Fourth Proportional to 380,064.80, 569,740.80 and 143,566.40

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Solution

The fourth proportional to 380,064.80, 569,740.80 and 143,566.40 is: 215,214.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,064.80 : 569,740.80 = 143,566.40 : x
  2. Step 2: Convert to fraction form
    380,064.80/569,740.80 = 143,566.40/x
  3. Step 3: Cross multiply
    380,064.80x = 569,740.80 × 143,566.40
  4. Step 4: Simplify right side
    380,064.80x = 81,795,635,589.12
  5. Step 5: Solve for x
    x = 81,795,635,589.12/380,064.80
  6. Step 6: Final answer
    x = 215,214.97

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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.