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Finding the Fourth Proportional to 298,767.40, 448,064.70 and 109,205.80

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Solution

The fourth proportional to 298,767.40, 448,064.70 and 109,205.80 is: 163,777.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,767.40 : 448,064.70 = 109,205.80 : x
  2. Step 2: Convert to fraction form
    298,767.40/448,064.70 = 109,205.80/x
  3. Step 3: Cross multiply
    298,767.40x = 448,064.70 × 109,205.80
  4. Step 4: Simplify right side
    298,767.40x = 48,931,264,015.26
  5. Step 5: Solve for x
    x = 48,931,264,015.26/298,767.40
  6. Step 6: Final answer
    x = 163,777.12

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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.