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Finding the Fourth Proportional to 298,711.40, 448,146.30 and 130,159.40

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Solution

The fourth proportional to 298,711.40, 448,146.30 and 130,159.40 is: 195,273.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,711.40 : 448,146.30 = 130,159.40 : x
  2. Step 2: Convert to fraction form
    298,711.40/448,146.30 = 130,159.40/x
  3. Step 3: Cross multiply
    298,711.40x = 448,146.30 × 130,159.40
  4. Step 4: Simplify right side
    298,711.40x = 58,330,453,520.22
  5. Step 5: Solve for x
    x = 58,330,453,520.22/298,711.40
  6. Step 6: Final answer
    x = 195,273.61

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1.5x scale

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.