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Finding the Fourth Proportional to 649,407.04, 974,207.38 and 200,090.32

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Solution

The fourth proportional to 649,407.04, 974,207.38 and 200,090.32 is: 300,165.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    649,407.04 : 974,207.38 = 200,090.32 : x
  2. Step 2: Convert to fraction form
    649,407.04/974,207.38 = 200,090.32/x
  3. Step 3: Cross multiply
    649,407.04x = 974,207.38 × 200,090.32
  4. Step 4: Simplify right side
    649,407.04x = 194,929,466,410.56
  5. Step 5: Solve for x
    x = 194,929,466,410.56/649,407.04
  6. Step 6: Final answer
    x = 300,165.31

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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.