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Finding the Fourth Proportional to 290,484.90, 434,919.21 and 148,023.05

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Solution

The fourth proportional to 290,484.90, 434,919.21 and 148,023.05 is: 221,622.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,484.90 : 434,919.21 = 148,023.05 : x
  2. Step 2: Convert to fraction form
    290,484.90/434,919.21 = 148,023.05/x
  3. Step 3: Cross multiply
    290,484.90x = 434,919.21 × 148,023.05
  4. Step 4: Simplify right side
    290,484.90x = 64,378,065,238.11
  5. Step 5: Solve for x
    x = 64,378,065,238.11/290,484.90
  6. Step 6: Final answer
    x = 221,622.76

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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.