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Finding the Fourth Proportional to 298,709.61, 448,147.41 and 130,244.64

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Solution

The fourth proportional to 298,709.61, 448,147.41 and 130,244.64 is: 195,403.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,709.61 : 448,147.41 = 130,244.64 : x
  2. Step 2: Convert to fraction form
    298,709.61/448,147.41 = 130,244.64/x
  3. Step 3: Cross multiply
    298,709.61x = 448,147.41 × 130,244.64
  4. Step 4: Simplify right side
    298,709.61x = 58,368,798,082.38
  5. Step 5: Solve for x
    x = 58,368,798,082.38/298,709.61
  6. Step 6: Final answer
    x = 195,403.15

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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.