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Finding the Fourth Proportional to 511,384.46, 767,076.28 and 137,407.46

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Solution

The fourth proportional to 511,384.46, 767,076.28 and 137,407.46 is: 206,111.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,384.46 : 767,076.28 = 137,407.46 : x
  2. Step 2: Convert to fraction form
    511,384.46/767,076.28 = 137,407.46/x
  3. Step 3: Cross multiply
    511,384.46x = 767,076.28 × 137,407.46
  4. Step 4: Simplify right side
    511,384.46x = 105,401,999,082.15
  5. Step 5: Solve for x
    x = 105,401,999,082.15/511,384.46
  6. Step 6: Final answer
    x = 206,111.07

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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.