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Finding the Fourth Proportional to 511,438.60, 767,156.82 and 137,461.60

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Solution

The fourth proportional to 511,438.60, 767,156.82 and 137,461.60 is: 206,192.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,438.60 : 767,156.82 = 137,461.60 : x
  2. Step 2: Convert to fraction form
    511,438.60/767,156.82 = 137,461.60/x
  3. Step 3: Cross multiply
    511,438.60x = 767,156.82 × 137,461.60
  4. Step 4: Simplify right side
    511,438.60x = 105,454,603,928.11
  5. Step 5: Solve for x
    x = 105,454,603,928.11/511,438.60
  6. Step 6: Final answer
    x = 206,192.11

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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.