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Finding the Fourth Proportional to 511,668.78, 767,506.41 and 156,655.50

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Solution

The fourth proportional to 511,668.78, 767,506.41 and 156,655.50 is: 234,984.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,668.78 : 767,506.41 = 156,655.50 : x
  2. Step 2: Convert to fraction form
    511,668.78/767,506.41 = 156,655.50/x
  3. Step 3: Cross multiply
    511,668.78x = 767,506.41 × 156,655.50
  4. Step 4: Simplify right side
    511,668.78x = 120,234,100,411.76
  5. Step 5: Solve for x
    x = 120,234,100,411.76/511,668.78
  6. Step 6: Final answer
    x = 234,984.24

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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.