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Finding the Fourth Proportional to 260,237.84, 390,090.90 and 147,680.34

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Solution

The fourth proportional to 260,237.84, 390,090.90 and 147,680.34 is: 221,369.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,237.84 : 390,090.90 = 147,680.34 : x
  2. Step 2: Convert to fraction form
    260,237.84/390,090.90 = 147,680.34/x
  3. Step 3: Cross multiply
    260,237.84x = 390,090.90 × 147,680.34
  4. Step 4: Simplify right side
    260,237.84x = 57,608,756,742.91
  5. Step 5: Solve for x
    x = 57,608,756,742.91/260,237.84
  6. Step 6: Final answer
    x = 221,369.64

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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.