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Finding the Fourth Proportional to 515,710.50, 711,692.75 and 289,372.74

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Solution

The fourth proportional to 515,710.50, 711,692.75 and 289,372.74 is: 399,341.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    515,710.50 : 711,692.75 = 289,372.74 : x
  2. Step 2: Convert to fraction form
    515,710.50/711,692.75 = 289,372.74/x
  3. Step 3: Cross multiply
    515,710.50x = 711,692.75 × 289,372.74
  4. Step 4: Simplify right side
    515,710.50x = 205,944,481,105.64
  5. Step 5: Solve for x
    x = 205,944,481,105.64/515,710.50
  6. Step 6: Final answer
    x = 399,341.26

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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.