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Finding the Fourth Proportional to 340,423.20, 509,713.20 and 266,695.20

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Solution

The fourth proportional to 340,423.20, 509,713.20 and 266,695.20 is: 399,320.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,423.20 : 509,713.20 = 266,695.20 : x
  2. Step 2: Convert to fraction form
    340,423.20/509,713.20 = 266,695.20/x
  3. Step 3: Cross multiply
    340,423.20x = 509,713.20 × 266,695.20
  4. Step 4: Simplify right side
    340,423.20x = 135,938,063,816.64
  5. Step 5: Solve for x
    x = 135,938,063,816.64/340,423.20
  6. Step 6: Final answer
    x = 399,320.80

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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.