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Finding the Fourth Proportional to 197,908.30, 296,862.45 and 190,909.90

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Solution

The fourth proportional to 197,908.30, 296,862.45 and 190,909.90 is: 286,364.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,908.30 : 296,862.45 = 190,909.90 : x
  2. Step 2: Convert to fraction form
    197,908.30/296,862.45 = 190,909.90/x
  3. Step 3: Cross multiply
    197,908.30x = 296,862.45 × 190,909.90
  4. Step 4: Simplify right side
    197,908.30x = 56,673,980,643.26
  5. Step 5: Solve for x
    x = 56,673,980,643.26/197,908.30
  6. Step 6: Final answer
    x = 286,364.85

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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.