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Finding the Fourth Proportional to 646,347.08, 967,697.85 and 342,052

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Solution

The fourth proportional to 646,347.08, 967,697.85 and 342,052 is: 512,113.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    646,347.08 : 967,697.85 = 342,052 : x
  2. Step 2: Convert to fraction form
    646,347.08/967,697.85 = 342,052/x
  3. Step 3: Cross multiply
    646,347.08x = 967,697.85 × 342,052
  4. Step 4: Simplify right side
    646,347.08x = 331,002,984,988.20
  5. Step 5: Solve for x
    x = 331,002,984,988.20/646,347.08
  6. Step 6: Final answer
    x = 512,113.38

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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.