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Finding the Fourth Proportional to 340,405.20, 509,686.20 and 266,677.20

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Solution

The fourth proportional to 340,405.20, 509,686.20 and 266,677.20 is: 399,293.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,405.20 : 509,686.20 = 266,677.20 : x
  2. Step 2: Convert to fraction form
    340,405.20/509,686.20 = 266,677.20/x
  3. Step 3: Cross multiply
    340,405.20x = 509,686.20 × 266,677.20
  4. Step 4: Simplify right side
    340,405.20x = 135,921,688,694.64
  5. Step 5: Solve for x
    x = 135,921,688,694.64/340,405.20
  6. Step 6: Final answer
    x = 399,293.81

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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.