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Finding the Fourth Proportional to 310,542.76, 465,831.42 and 88,921

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Solution

The fourth proportional to 310,542.76, 465,831.42 and 88,921 is: 133,386.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,542.76 : 465,831.42 = 88,921 : x
  2. Step 2: Convert to fraction form
    310,542.76/465,831.42 = 88,921/x
  3. Step 3: Cross multiply
    310,542.76x = 465,831.42 × 88,921
  4. Step 4: Simplify right side
    310,542.76x = 41,422,195,697.82
  5. Step 5: Solve for x
    x = 41,422,195,697.82/310,542.76
  6. Step 6: Final answer
    x = 133,386.45

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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.