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Finding the Fourth Proportional to 370,120.68, 510,735.78 and 217,142.87

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Solution

The fourth proportional to 370,120.68, 510,735.78 and 217,142.87 is: 299,639.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    370,120.68 : 510,735.78 = 217,142.87 : x
  2. Step 2: Convert to fraction form
    370,120.68/510,735.78 = 217,142.87/x
  3. Step 3: Cross multiply
    370,120.68x = 510,735.78 × 217,142.87
  4. Step 4: Simplify right side
    370,120.68x = 110,902,630,527.21
  5. Step 5: Solve for x
    x = 110,902,630,527.21/370,120.68
  6. Step 6: Final answer
    x = 299,639.11

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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.