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Finding the Fourth Proportional to 342,398.64, 512,598.60 and 199,806.96

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Solution

The fourth proportional to 342,398.64, 512,598.60 and 199,806.96 is: 299,127.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,398.64 : 512,598.60 = 199,806.96 : x
  2. Step 2: Convert to fraction form
    342,398.64/512,598.60 = 199,806.96/x
  3. Step 3: Cross multiply
    342,398.64x = 512,598.60 × 199,806.96
  4. Step 4: Simplify right side
    342,398.64x = 102,420,767,966.26
  5. Step 5: Solve for x
    x = 102,420,767,966.26/342,398.64
  6. Step 6: Final answer
    x = 299,127.26

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1.5x scale

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.