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Finding the Fourth Proportional to 298,270.38, 447,475.65 and 98,590.79

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Solution

The fourth proportional to 298,270.38, 447,475.65 and 98,590.79 is: 147,909.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,270.38 : 447,475.65 = 98,590.79 : x
  2. Step 2: Convert to fraction form
    298,270.38/447,475.65 = 98,590.79/x
  3. Step 3: Cross multiply
    298,270.38x = 447,475.65 × 98,590.79
  4. Step 4: Simplify right side
    298,270.38x = 44,116,975,601.89
  5. Step 5: Solve for x
    x = 44,116,975,601.89/298,270.38
  6. Step 6: Final answer
    x = 147,909.34

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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.