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Finding the Fourth Proportional to 298,435.78, 447,501.59 and 146,642.95

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Solution

The fourth proportional to 298,435.78, 447,501.59 and 146,642.95 is: 219,889.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,435.78 : 447,501.59 = 146,642.95 : x
  2. Step 2: Convert to fraction form
    298,435.78/447,501.59 = 146,642.95/x
  3. Step 3: Cross multiply
    298,435.78x = 447,501.59 × 146,642.95
  4. Step 4: Simplify right side
    298,435.78x = 65,622,950,316.57
  5. Step 5: Solve for x
    x = 65,622,950,316.57/298,435.78
  6. Step 6: Final answer
    x = 219,889.69

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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.