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Finding the Fourth Proportional to 288,617.70, 432,926.55 and 194,139.30

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Solution

The fourth proportional to 288,617.70, 432,926.55 and 194,139.30 is: 291,208.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,617.70 : 432,926.55 = 194,139.30 : x
  2. Step 2: Convert to fraction form
    288,617.70/432,926.55 = 194,139.30/x
  3. Step 3: Cross multiply
    288,617.70x = 432,926.55 × 194,139.30
  4. Step 4: Simplify right side
    288,617.70x = 84,048,057,368.42
  5. Step 5: Solve for x
    x = 84,048,057,368.42/288,617.70
  6. Step 6: Final answer
    x = 291,208.95

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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.