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Finding the Fourth Proportional to 298,289.66, 447,215.78 and 140,432

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Solution

The fourth proportional to 298,289.66, 447,215.78 and 140,432 is: 210,545.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,289.66 : 447,215.78 = 140,432 : x
  2. Step 2: Convert to fraction form
    298,289.66/447,215.78 = 140,432/x
  3. Step 3: Cross multiply
    298,289.66x = 447,215.78 × 140,432
  4. Step 4: Simplify right side
    298,289.66x = 62,803,406,416.96
  5. Step 5: Solve for x
    x = 62,803,406,416.96/298,289.66
  6. Step 6: Final answer
    x = 210,545.03

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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.