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Finding the Fourth Proportional to 487,955.74, 731,371.92 and 188,303.80

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Solution

The fourth proportional to 487,955.74, 731,371.92 and 188,303.80 is: 282,238.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    487,955.74 : 731,371.92 = 188,303.80 : x
  2. Step 2: Convert to fraction form
    487,955.74/731,371.92 = 188,303.80/x
  3. Step 3: Cross multiply
    487,955.74x = 731,371.92 × 188,303.80
  4. Step 4: Simplify right side
    487,955.74x = 137,720,111,749.30
  5. Step 5: Solve for x
    x = 137,720,111,749.30/487,955.74
  6. Step 6: Final answer
    x = 282,238.94

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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.