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Finding the Fourth Proportional to 288,951.80, 433,136.10 and 131,293.40

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Solution

The fourth proportional to 288,951.80, 433,136.10 and 131,293.40 is: 196,807.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,951.80 : 433,136.10 = 131,293.40 : x
  2. Step 2: Convert to fraction form
    288,951.80/433,136.10 = 131,293.40/x
  3. Step 3: Cross multiply
    288,951.80x = 433,136.10 × 131,293.40
  4. Step 4: Simplify right side
    288,951.80x = 56,867,911,231.74
  5. Step 5: Solve for x
    x = 56,867,911,231.74/288,951.80
  6. Step 6: Final answer
    x = 196,807.60

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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.