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Finding the Fourth Proportional to 488,049.40, 731,855.40 and 188,430.40

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Solution

The fourth proportional to 488,049.40, 731,855.40 and 188,430.40 is: 282,561.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    488,049.40 : 731,855.40 = 188,430.40 : x
  2. Step 2: Convert to fraction form
    488,049.40/731,855.40 = 188,430.40/x
  3. Step 3: Cross multiply
    488,049.40x = 731,855.40 × 188,430.40
  4. Step 4: Simplify right side
    488,049.40x = 137,903,805,764.16
  5. Step 5: Solve for x
    x = 137,903,805,764.16/488,049.40
  6. Step 6: Final answer
    x = 282,561.16

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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.