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Finding the Fourth Proportional to 487,690.28, 731,597.72 and 188,256.48

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Solution

The fourth proportional to 487,690.28, 731,597.72 and 188,256.48 is: 282,408.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    487,690.28 : 731,597.72 = 188,256.48 : x
  2. Step 2: Convert to fraction form
    487,690.28/731,597.72 = 188,256.48/x
  3. Step 3: Cross multiply
    487,690.28x = 731,597.72 × 188,256.48
  4. Step 4: Simplify right side
    487,690.28x = 137,728,011,543.23
  5. Step 5: Solve for x
    x = 137,728,011,543.23/487,690.28
  6. Step 6: Final answer
    x = 282,408.77

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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.