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Finding the Fourth Proportional to 380,219.84, 570,214.56 and 158,552

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Solution

The fourth proportional to 380,219.84, 570,214.56 and 158,552 is: 237,779.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,219.84 : 570,214.56 = 158,552 : x
  2. Step 2: Convert to fraction form
    380,219.84/570,214.56 = 158,552/x
  3. Step 3: Cross multiply
    380,219.84x = 570,214.56 × 158,552
  4. Step 4: Simplify right side
    380,219.84x = 90,408,658,917.12
  5. Step 5: Solve for x
    x = 90,408,658,917.12/380,219.84
  6. Step 6: Final answer
    x = 237,779.96

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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.