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Finding the Fourth Proportional to 305,430, 458,153.68 and 83,814

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Solution

The fourth proportional to 305,430, 458,153.68 and 83,814 is: 125,723.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,430 : 458,153.68 = 83,814 : x
  2. Step 2: Convert to fraction form
    305,430/458,153.68 = 83,814/x
  3. Step 3: Cross multiply
    305,430x = 458,153.68 × 83,814
  4. Step 4: Simplify right side
    305,430x = 38,399,692,535.52
  5. Step 5: Solve for x
    x = 38,399,692,535.52/305,430
  6. Step 6: Final answer
    x = 125,723.38

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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.