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Finding the Fourth Proportional to 305,935.70, 458,903.55 and 260,664.80

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Solution

The fourth proportional to 305,935.70, 458,903.55 and 260,664.80 is: 390,997.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,935.70 : 458,903.55 = 260,664.80 : x
  2. Step 2: Convert to fraction form
    305,935.70/458,903.55 = 260,664.80/x
  3. Step 3: Cross multiply
    305,935.70x = 458,903.55 × 260,664.80
  4. Step 4: Simplify right side
    305,935.70x = 119,620,002,080.04
  5. Step 5: Solve for x
    x = 119,620,002,080.04/305,935.70
  6. Step 6: Final answer
    x = 390,997.20

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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.