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Finding the Fourth Proportional to 501,187.50, 691,355.81 and 297,037.88

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Solution

The fourth proportional to 501,187.50, 691,355.81 and 297,037.88 is: 409,744.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    501,187.50 : 691,355.81 = 297,037.88 : x
  2. Step 2: Convert to fraction form
    501,187.50/691,355.81 = 297,037.88/x
  3. Step 3: Cross multiply
    501,187.50x = 691,355.81 × 297,037.88
  4. Step 4: Simplify right side
    501,187.50x = 205,358,866,224.52
  5. Step 5: Solve for x
    x = 205,358,866,224.52/501,187.50
  6. Step 6: Final answer
    x = 409,744.59

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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.