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Finding the Fourth Proportional to 370,149.96, 510,808.10 and 200,383.68

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Solution

The fourth proportional to 370,149.96, 510,808.10 and 200,383.68 is: 276,530.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    370,149.96 : 510,808.10 = 200,383.68 : x
  2. Step 2: Convert to fraction form
    370,149.96/510,808.10 = 200,383.68/x
  3. Step 3: Cross multiply
    370,149.96x = 510,808.10 × 200,383.68
  4. Step 4: Simplify right side
    370,149.96x = 102,357,605,849.89
  5. Step 5: Solve for x
    x = 102,357,605,849.89/370,149.96
  6. Step 6: Final answer
    x = 276,530.10

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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.