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Finding the Fourth Proportional to 511,390.30, 766,962.43 and 156,407.40

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Solution

The fourth proportional to 511,390.30, 766,962.43 and 156,407.40 is: 234,573.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,390.30 : 766,962.43 = 156,407.40 : x
  2. Step 2: Convert to fraction form
    511,390.30/766,962.43 = 156,407.40/x
  3. Step 3: Cross multiply
    511,390.30x = 766,962.43 × 156,407.40
  4. Step 4: Simplify right side
    511,390.30x = 119,958,599,573.98
  5. Step 5: Solve for x
    x = 119,958,599,573.98/511,390.30
  6. Step 6: Final answer
    x = 234,573.47

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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.