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Finding the Fourth Proportional to 260,509.40, 390,666.90 and 102,705.20

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Solution

The fourth proportional to 260,509.40, 390,666.90 and 102,705.20 is: 154,019.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,509.40 : 390,666.90 = 102,705.20 : x
  2. Step 2: Convert to fraction form
    260,509.40/390,666.90 = 102,705.20/x
  3. Step 3: Cross multiply
    260,509.40x = 390,666.90 × 102,705.20
  4. Step 4: Simplify right side
    260,509.40x = 40,123,522,097.88
  5. Step 5: Solve for x
    x = 40,123,522,097.88/260,509.40
  6. Step 6: Final answer
    x = 154,019.48

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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.