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Finding the Fourth Proportional to 340,770, 511,220.61 and 153,781.50

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Solution

The fourth proportional to 340,770, 511,220.61 and 153,781.50 is: 230,701.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,770 : 511,220.61 = 153,781.50 : x
  2. Step 2: Convert to fraction form
    340,770/511,220.61 = 153,781.50/x
  3. Step 3: Cross multiply
    340,770x = 511,220.61 × 153,781.50
  4. Step 4: Simplify right side
    340,770x = 78,616,272,236.72
  5. Step 5: Solve for x
    x = 78,616,272,236.72/340,770
  6. Step 6: Final answer
    x = 230,701.86

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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.