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Finding the Fourth Proportional to 343,261.77, 514,927.22 and 90,559.73

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Solution

The fourth proportional to 343,261.77, 514,927.22 and 90,559.73 is: 135,848.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    343,261.77 : 514,927.22 = 90,559.73 : x
  2. Step 2: Convert to fraction form
    343,261.77/514,927.22 = 90,559.73/x
  3. Step 3: Cross multiply
    343,261.77x = 514,927.22 × 90,559.73
  4. Step 4: Simplify right side
    343,261.77x = 46,631,666,985.42
  5. Step 5: Solve for x
    x = 46,631,666,985.42/343,261.77
  6. Step 6: Final answer
    x = 135,848.71

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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.