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Finding the Fourth Proportional to 260,079.40, 390,119.10 and 161,775.40

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Solution

The fourth proportional to 260,079.40, 390,119.10 and 161,775.40 is: 242,663.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,079.40 : 390,119.10 = 161,775.40 : x
  2. Step 2: Convert to fraction form
    260,079.40/390,119.10 = 161,775.40/x
  3. Step 3: Cross multiply
    260,079.40x = 390,119.10 × 161,775.40
  4. Step 4: Simplify right side
    260,079.40x = 63,111,673,450.14
  5. Step 5: Solve for x
    x = 63,111,673,450.14/260,079.40
  6. Step 6: Final answer
    x = 242,663.10

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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.