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Finding the Fourth Proportional to 411,938.78, 568,459.76 and 230,633.76

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Solution

The fourth proportional to 411,938.78, 568,459.76 and 230,633.76 is: 318,265.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,938.78 : 568,459.76 = 230,633.76 : x
  2. Step 2: Convert to fraction form
    411,938.78/568,459.76 = 230,633.76/x
  3. Step 3: Cross multiply
    411,938.78x = 568,459.76 × 230,633.76
  4. Step 4: Simplify right side
    411,938.78x = 131,106,011,857.50
  5. Step 5: Solve for x
    x = 131,106,011,857.50/411,938.78
  6. Step 6: Final answer
    x = 318,265.77

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