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Finding the Fourth Proportional to 288,935.70, 433,403.55 and 194,457.30

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Solution

The fourth proportional to 288,935.70, 433,403.55 and 194,457.30 is: 291,685.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,935.70 : 433,403.55 = 194,457.30 : x
  2. Step 2: Convert to fraction form
    288,935.70/433,403.55 = 194,457.30/x
  3. Step 3: Cross multiply
    288,935.70x = 433,403.55 × 194,457.30
  4. Step 4: Simplify right side
    288,935.70x = 84,278,484,143.42
  5. Step 5: Solve for x
    x = 84,278,484,143.42/288,935.70
  6. Step 6: Final answer
    x = 291,685.95

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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.