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Finding the Fourth Proportional to 298,439.78, 447,507.58 and 146,646.94

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Solution

The fourth proportional to 298,439.78, 447,507.58 and 146,646.94 is: 219,895.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,439.78 : 447,507.58 = 146,646.94 : x
  2. Step 2: Convert to fraction form
    298,439.78/447,507.58 = 146,646.94/x
  3. Step 3: Cross multiply
    298,439.78x = 447,507.58 × 146,646.94
  4. Step 4: Simplify right side
    298,439.78x = 65,625,617,233.81
  5. Step 5: Solve for x
    x = 65,625,617,233.81/298,439.78
  6. Step 6: Final answer
    x = 219,895.68

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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.