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Finding the Fourth Proportional to 305,402.96, 421,332.36 and 220,333.52

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Solution

The fourth proportional to 305,402.96, 421,332.36 and 220,333.52 is: 303,971.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,402.96 : 421,332.36 = 220,333.52 : x
  2. Step 2: Convert to fraction form
    305,402.96/421,332.36 = 220,333.52/x
  3. Step 3: Cross multiply
    305,402.96x = 421,332.36 × 220,333.52
  4. Step 4: Simplify right side
    305,402.96x = 92,833,641,968.71
  5. Step 5: Solve for x
    x = 92,833,641,968.71/305,402.96
  6. Step 6: Final answer
    x = 303,971.00

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.