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Finding the Fourth Proportional to 305,390.86, 458,264.88 and 127,883.02

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Solution

The fourth proportional to 305,390.86, 458,264.88 and 127,883.02 is: 191,899.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,390.86 : 458,264.88 = 127,883.02 : x
  2. Step 2: Convert to fraction form
    305,390.86/458,264.88 = 127,883.02/x
  3. Step 3: Cross multiply
    305,390.86x = 458,264.88 × 127,883.02
  4. Step 4: Simplify right side
    305,390.86x = 58,604,296,814.34
  5. Step 5: Solve for x
    x = 58,604,296,814.34/305,390.86
  6. Step 6: Final answer
    x = 191,899.31

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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.