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Finding the Fourth Proportional to 260,564.70, 390,976.65 and 102,798.30

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Solution

The fourth proportional to 260,564.70, 390,976.65 and 102,798.30 is: 154,248.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,564.70 : 390,976.65 = 102,798.30 : x
  2. Step 2: Convert to fraction form
    260,564.70/390,976.65 = 102,798.30/x
  3. Step 3: Cross multiply
    260,564.70x = 390,976.65 × 102,798.30
  4. Step 4: Simplify right side
    260,564.70x = 40,191,734,959.70
  5. Step 5: Solve for x
    x = 40,191,734,959.70/260,564.70
  6. Step 6: Final answer
    x = 154,248.58

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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.