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Finding the Fourth Proportional to 221,430.98, 305,438.37 and 157,789.34

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Solution

The fourth proportional to 221,430.98, 305,438.37 and 157,789.34 is: 217,652.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,430.98 : 305,438.37 = 157,789.34 : x
  2. Step 2: Convert to fraction form
    221,430.98/305,438.37 = 157,789.34/x
  3. Step 3: Cross multiply
    221,430.98x = 305,438.37 × 157,789.34
  4. Step 4: Simplify right side
    221,430.98x = 48,194,918,812.98
  5. Step 5: Solve for x
    x = 48,194,918,812.98/221,430.98
  6. Step 6: Final answer
    x = 217,652.10

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.