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Finding the Fourth Proportional to 310,732.80, 428,851.20 and 210,124.80

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Solution

The fourth proportional to 310,732.80, 428,851.20 and 210,124.80 is: 289,999.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,732.80 : 428,851.20 = 210,124.80 : x
  2. Step 2: Convert to fraction form
    310,732.80/428,851.20 = 210,124.80/x
  3. Step 3: Cross multiply
    310,732.80x = 428,851.20 × 210,124.80
  4. Step 4: Simplify right side
    310,732.80x = 90,112,272,629.76
  5. Step 5: Solve for x
    x = 90,112,272,629.76/310,732.80
  6. Step 6: Final answer
    x = 289,999.23

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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.