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Finding the Fourth Proportional to 310,371.60, 465,514.20 and 100,030.80

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Solution

The fourth proportional to 310,371.60, 465,514.20 and 100,030.80 is: 150,032.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,371.60 : 465,514.20 = 100,030.80 : x
  2. Step 2: Convert to fraction form
    310,371.60/465,514.20 = 100,030.80/x
  3. Step 3: Cross multiply
    310,371.60x = 465,514.20 × 100,030.80
  4. Step 4: Simplify right side
    310,371.60x = 46,565,757,837.36
  5. Step 5: Solve for x
    x = 46,565,757,837.36/310,371.60
  6. Step 6: Final answer
    x = 150,032.28

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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.