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Finding the Fourth Proportional to 511,293.98, 766,939.69 and 151,492.84

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Solution

The fourth proportional to 511,293.98, 766,939.69 and 151,492.84 is: 227,238.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,293.98 : 766,939.69 = 151,492.84 : x
  2. Step 2: Convert to fraction form
    511,293.98/766,939.69 = 151,492.84/x
  3. Step 3: Cross multiply
    511,293.98x = 766,939.69 × 151,492.84
  4. Step 4: Simplify right side
    511,293.98x = 116,185,875,411.38
  5. Step 5: Solve for x
    x = 116,185,875,411.38/511,293.98
  6. Step 6: Final answer
    x = 227,238.89

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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.