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Finding the Fourth Proportional to 343,534.58, 515,060.42 and 151,317.78

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Solution

The fourth proportional to 343,534.58, 515,060.42 and 151,317.78 is: 226,870.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    343,534.58 : 515,060.42 = 151,317.78 : x
  2. Step 2: Convert to fraction form
    343,534.58/515,060.42 = 151,317.78/x
  3. Step 3: Cross multiply
    343,534.58x = 515,060.42 × 151,317.78
  4. Step 4: Simplify right side
    343,534.58x = 77,937,798,563.68
  5. Step 5: Solve for x
    x = 77,937,798,563.68/343,534.58
  6. Step 6: Final answer
    x = 226,870.32

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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.