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Finding the Fourth Proportional to 260,489.70, 390,078.45 and 208,001.70

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Solution

The fourth proportional to 260,489.70, 390,078.45 and 208,001.70 is: 311,478.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,489.70 : 390,078.45 = 208,001.70 : x
  2. Step 2: Convert to fraction form
    260,489.70/390,078.45 = 208,001.70/x
  3. Step 3: Cross multiply
    260,489.70x = 390,078.45 × 208,001.70
  4. Step 4: Simplify right side
    260,489.70x = 81,136,980,733.37
  5. Step 5: Solve for x
    x = 81,136,980,733.37/260,489.70
  6. Step 6: Final answer
    x = 311,478.65

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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.