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Finding the Fourth Proportional to 199,643.40, 299,465.10 and 185,209.20

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Solution

The fourth proportional to 199,643.40, 299,465.10 and 185,209.20 is: 277,813.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,643.40 : 299,465.10 = 185,209.20 : x
  2. Step 2: Convert to fraction form
    199,643.40/299,465.10 = 185,209.20/x
  3. Step 3: Cross multiply
    199,643.40x = 299,465.10 × 185,209.20
  4. Step 4: Simplify right side
    199,643.40x = 55,463,691,598.92
  5. Step 5: Solve for x
    x = 55,463,691,598.92/199,643.40
  6. Step 6: Final answer
    x = 277,813.80

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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.