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Finding the Fourth Proportional to 289,252.80, 433,587.60 and 131,594.40

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Solution

The fourth proportional to 289,252.80, 433,587.60 and 131,594.40 is: 197,258.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,252.80 : 433,587.60 = 131,594.40 : x
  2. Step 2: Convert to fraction form
    289,252.80/433,587.60 = 131,594.40/x
  3. Step 3: Cross multiply
    289,252.80x = 433,587.60 × 131,594.40
  4. Step 4: Simplify right side
    289,252.80x = 57,057,700,069.44
  5. Step 5: Solve for x
    x = 57,057,700,069.44/289,252.80
  6. Step 6: Final answer
    x = 197,258.94

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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.