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Finding the Fourth Proportional to 340,196.16, 509,978.70 and 150,555.72

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Solution

The fourth proportional to 340,196.16, 509,978.70 and 150,555.72 is: 225,693.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,196.16 : 509,978.70 = 150,555.72 : x
  2. Step 2: Convert to fraction form
    340,196.16/509,978.70 = 150,555.72/x
  3. Step 3: Cross multiply
    340,196.16x = 509,978.70 × 150,555.72
  4. Step 4: Simplify right side
    340,196.16x = 76,780,210,363.16
  5. Step 5: Solve for x
    x = 76,780,210,363.16/340,196.16
  6. Step 6: Final answer
    x = 225,693.94

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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.