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Finding the Fourth Proportional to 298,766.40, 448,149.60 and 77,150.40

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Solution

The fourth proportional to 298,766.40, 448,149.60 and 77,150.40 is: 115,725.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,766.40 : 448,149.60 = 77,150.40 : x
  2. Step 2: Convert to fraction form
    298,766.40/448,149.60 = 77,150.40/x
  3. Step 3: Cross multiply
    298,766.40x = 448,149.60 × 77,150.40
  4. Step 4: Simplify right side
    298,766.40x = 34,574,920,899.84
  5. Step 5: Solve for x
    x = 34,574,920,899.84/298,766.40
  6. Step 6: Final answer
    x = 115,725.60

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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.