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Finding the Fourth Proportional to 310,990.87, 429,149.64 and 175,030.48

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Solution

The fourth proportional to 310,990.87, 429,149.64 and 175,030.48 is: 241,532.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,990.87 : 429,149.64 = 175,030.48 : x
  2. Step 2: Convert to fraction form
    310,990.87/429,149.64 = 175,030.48/x
  3. Step 3: Cross multiply
    310,990.87x = 429,149.64 × 175,030.48
  4. Step 4: Simplify right side
    310,990.87x = 75,114,267,481.03
  5. Step 5: Solve for x
    x = 75,114,267,481.03/310,990.87
  6. Step 6: Final answer
    x = 241,532.07

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.