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Finding the Fourth Proportional to 340,470.84, 510,740.82 and 130,285.56

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Solution

The fourth proportional to 340,470.84, 510,740.82 and 130,285.56 is: 195,441.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,470.84 : 510,740.82 = 130,285.56 : x
  2. Step 2: Convert to fraction form
    340,470.84/510,740.82 = 130,285.56/x
  3. Step 3: Cross multiply
    340,470.84x = 510,740.82 × 130,285.56
  4. Step 4: Simplify right side
    340,470.84x = 66,542,153,748.56
  5. Step 5: Solve for x
    x = 66,542,153,748.56/340,470.84
  6. Step 6: Final answer
    x = 195,441.56

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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.