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Finding the Fourth Proportional to 299,129.40, 448,912.80 and 199,256.40

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Solution

The fourth proportional to 299,129.40, 448,912.80 and 199,256.40 is: 299,030.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,129.40 : 448,912.80 = 199,256.40 : x
  2. Step 2: Convert to fraction form
    299,129.40/448,912.80 = 199,256.40/x
  3. Step 3: Cross multiply
    299,129.40x = 448,912.80 × 199,256.40
  4. Step 4: Simplify right side
    299,129.40x = 89,448,748,441.92
  5. Step 5: Solve for x
    x = 89,448,748,441.92/299,129.40
  6. Step 6: Final answer
    x = 299,030.28

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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.