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Finding the Fourth Proportional to 298,406.76, 447,625.01 and 85,206.30

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Solution

The fourth proportional to 298,406.76, 447,625.01 and 85,206.30 is: 127,813.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,406.76 : 447,625.01 = 85,206.30 : x
  2. Step 2: Convert to fraction form
    298,406.76/447,625.01 = 85,206.30/x
  3. Step 3: Cross multiply
    298,406.76x = 447,625.01 × 85,206.30
  4. Step 4: Simplify right side
    298,406.76x = 38,140,470,463.53
  5. Step 5: Solve for x
    x = 38,140,470,463.53/298,406.76
  6. Step 6: Final answer
    x = 127,813.69

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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.