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Finding the Fourth Proportional to 305,867.40, 458,363.70 and 212,263.80

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Solution

The fourth proportional to 305,867.40, 458,363.70 and 212,263.80 is: 318,092.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,867.40 : 458,363.70 = 212,263.80 : x
  2. Step 2: Convert to fraction form
    305,867.40/458,363.70 = 212,263.80/x
  3. Step 3: Cross multiply
    305,867.40x = 458,363.70 × 212,263.80
  4. Step 4: Simplify right side
    305,867.40x = 97,294,020,744.06
  5. Step 5: Solve for x
    x = 97,294,020,744.06/305,867.40
  6. Step 6: Final answer
    x = 318,092.16

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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.