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Finding the Fourth Proportional to 646,346.58, 967,697.10 and 342,051.50

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Solution

The fourth proportional to 646,346.58, 967,697.10 and 342,051.50 is: 512,112.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    646,346.58 : 967,697.10 = 342,051.50 : x
  2. Step 2: Convert to fraction form
    646,346.58/967,697.10 = 342,051.50/x
  3. Step 3: Cross multiply
    646,346.58x = 967,697.10 × 342,051.50
  4. Step 4: Simplify right side
    646,346.58x = 331,002,244,600.65
  5. Step 5: Solve for x
    x = 331,002,244,600.65/646,346.58
  6. Step 6: Final answer
    x = 512,112.63

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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.