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Finding the Fourth Proportional to 511,667.28, 767,504.16 and 156,654

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Solution

The fourth proportional to 511,667.28, 767,504.16 and 156,654 is: 234,981.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,667.28 : 767,504.16 = 156,654 : x
  2. Step 2: Convert to fraction form
    511,667.28/767,504.16 = 156,654/x
  3. Step 3: Cross multiply
    511,667.28x = 767,504.16 × 156,654
  4. Step 4: Simplify right side
    511,667.28x = 120,232,596,680.64
  5. Step 5: Solve for x
    x = 120,232,596,680.64/511,667.28
  6. Step 6: Final answer
    x = 234,981.99

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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.