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Finding the Fourth Proportional to 611,564.70, 916,909.65 and 274,329.30

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Solution

The fourth proportional to 611,564.70, 916,909.65 and 274,329.30 is: 411,297.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    611,564.70 : 916,909.65 = 274,329.30 : x
  2. Step 2: Convert to fraction form
    611,564.70/916,909.65 = 274,329.30/x
  3. Step 3: Cross multiply
    611,564.70x = 916,909.65 × 274,329.30
  4. Step 4: Simplify right side
    611,564.70x = 251,535,182,447.75
  5. Step 5: Solve for x
    x = 251,535,182,447.75/611,564.70
  6. Step 6: Final answer
    x = 411,297.75

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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.