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Finding the Fourth Proportional to 370,057.68, 510,520.37 and 217,142.64

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Solution

The fourth proportional to 370,057.68, 510,520.37 and 217,142.64 is: 299,563.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    370,057.68 : 510,520.37 = 217,142.64 : x
  2. Step 2: Convert to fraction form
    370,057.68/510,520.37 = 217,142.64/x
  3. Step 3: Cross multiply
    370,057.68x = 510,520.37 × 217,142.64
  4. Step 4: Simplify right side
    370,057.68x = 110,855,739,829.86
  5. Step 5: Solve for x
    x = 110,855,739,829.86/370,057.68
  6. Step 6: Final answer
    x = 299,563.41

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.