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Finding the Fourth Proportional to 500,111.58, 750,296.25 and 180,250.68

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Solution

The fourth proportional to 500,111.58, 750,296.25 and 180,250.68 is: 270,422.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    500,111.58 : 750,296.25 = 180,250.68 : x
  2. Step 2: Convert to fraction form
    500,111.58/750,296.25 = 180,250.68/x
  3. Step 3: Cross multiply
    500,111.58x = 750,296.25 × 180,250.68
  4. Step 4: Simplify right side
    500,111.58x = 135,241,409,263.95
  5. Step 5: Solve for x
    x = 135,241,409,263.95/500,111.58
  6. Step 6: Final answer
    x = 270,422.47

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1.5x scale

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.