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Finding the Fourth Proportional to 298,712.40, 448,147.80 and 130,160.40

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Solution

The fourth proportional to 298,712.40, 448,147.80 and 130,160.40 is: 195,275.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,712.40 : 448,147.80 = 130,160.40 : x
  2. Step 2: Convert to fraction form
    298,712.40/448,147.80 = 130,160.40/x
  3. Step 3: Cross multiply
    298,712.40x = 448,147.80 × 130,160.40
  4. Step 4: Simplify right side
    298,712.40x = 58,331,096,907.12
  5. Step 5: Solve for x
    x = 58,331,096,907.12/298,712.40
  6. Step 6: Final answer
    x = 195,275.11

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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.