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Finding the Fourth Proportional to 305,643.98, 458,415.66 and 81,018.38

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Solution

The fourth proportional to 305,643.98, 458,415.66 and 81,018.38 is: 121,514.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,643.98 : 458,415.66 = 81,018.38 : x
  2. Step 2: Convert to fraction form
    305,643.98/458,415.66 = 81,018.38/x
  3. Step 3: Cross multiply
    305,643.98x = 458,415.66 × 81,018.38
  4. Step 4: Simplify right side
    305,643.98x = 37,140,094,139.83
  5. Step 5: Solve for x
    x = 37,140,094,139.83/305,643.98
  6. Step 6: Final answer
    x = 121,514.23

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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.