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Finding the Fourth Proportional to 380,890.80, 570,214.65 and 281,494.08

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Solution

The fourth proportional to 380,890.80, 570,214.65 and 281,494.08 is: 421,412.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,890.80 : 570,214.65 = 281,494.08 : x
  2. Step 2: Convert to fraction form
    380,890.80/570,214.65 = 281,494.08/x
  3. Step 3: Cross multiply
    380,890.80x = 570,214.65 × 281,494.08
  4. Step 4: Simplify right side
    380,890.80x = 160,512,048,304.27
  5. Step 5: Solve for x
    x = 160,512,048,304.27/380,890.80
  6. Step 6: Final answer
    x = 421,412.25

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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.