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Finding the Fourth Proportional to 199,643.60, 299,465.40 and 197,019.20

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Solution

The fourth proportional to 199,643.60, 299,465.40 and 197,019.20 is: 295,528.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,643.60 : 299,465.40 = 197,019.20 : x
  2. Step 2: Convert to fraction form
    199,643.60/299,465.40 = 197,019.20/x
  3. Step 3: Cross multiply
    199,643.60x = 299,465.40 × 197,019.20
  4. Step 4: Simplify right side
    199,643.60x = 59,000,433,535.68
  5. Step 5: Solve for x
    x = 59,000,433,535.68/199,643.60
  6. Step 6: Final answer
    x = 295,528.80

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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.