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Finding the Fourth Proportional to 281,031.44, 421,462.08 and 147,838.24

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Solution

The fourth proportional to 281,031.44, 421,462.08 and 147,838.24 is: 221,712.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,031.44 : 421,462.08 = 147,838.24 : x
  2. Step 2: Convert to fraction form
    281,031.44/421,462.08 = 147,838.24/x
  3. Step 3: Cross multiply
    281,031.44x = 421,462.08 × 147,838.24
  4. Step 4: Simplify right side
    281,031.44x = 62,308,212,133.94
  5. Step 5: Solve for x
    x = 62,308,212,133.94/281,031.44
  6. Step 6: Final answer
    x = 221,712.60

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1.5x scale

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.