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Finding the Fourth Proportional to 305,426, 458,147.68 and 83,810

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Solution

The fourth proportional to 305,426, 458,147.68 and 83,810 is: 125,717.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,426 : 458,147.68 = 83,810 : x
  2. Step 2: Convert to fraction form
    305,426/458,147.68 = 83,810/x
  3. Step 3: Cross multiply
    305,426x = 458,147.68 × 83,810
  4. Step 4: Simplify right side
    305,426x = 38,397,357,060.80
  5. Step 5: Solve for x
    x = 38,397,357,060.80/305,426
  6. Step 6: Final answer
    x = 125,717.38

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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.