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Finding the Fourth Proportional to 511,446.15, 767,141.48 and 156,460.21

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Solution

The fourth proportional to 511,446.15, 767,141.48 and 156,460.21 is: 234,681.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,446.15 : 767,141.48 = 156,460.21 : x
  2. Step 2: Convert to fraction form
    511,446.15/767,141.48 = 156,460.21/x
  3. Step 3: Cross multiply
    511,446.15x = 767,141.48 × 156,460.21
  4. Step 4: Simplify right side
    511,446.15x = 120,027,115,533.81
  5. Step 5: Solve for x
    x = 120,027,115,533.81/511,446.15
  6. Step 6: Final answer
    x = 234,681.82

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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.