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Finding the Fourth Proportional to 491,190, 736,785 and 195,909.36

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Solution

The fourth proportional to 491,190, 736,785 and 195,909.36 is: 293,864.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    491,190 : 736,785 = 195,909.36 : x
  2. Step 2: Convert to fraction form
    491,190/736,785 = 195,909.36/x
  3. Step 3: Cross multiply
    491,190x = 736,785 × 195,909.36
  4. Step 4: Simplify right side
    491,190x = 144,343,077,807.60
  5. Step 5: Solve for x
    x = 144,343,077,807.60/491,190
  6. Step 6: Final answer
    x = 293,864.04

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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.