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Finding the Fourth Proportional to 305,031.75, 457,707.18 and 221,482.05

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Solution

The fourth proportional to 305,031.75, 457,707.18 and 221,482.05 is: 332,338.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,031.75 : 457,707.18 = 221,482.05 : x
  2. Step 2: Convert to fraction form
    305,031.75/457,707.18 = 221,482.05/x
  3. Step 3: Cross multiply
    305,031.75x = 457,707.18 × 221,482.05
  4. Step 4: Simplify right side
    305,031.75x = 101,373,924,526.12
  5. Step 5: Solve for x
    x = 101,373,924,526.12/305,031.75
  6. Step 6: Final answer
    x = 332,338.93

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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.