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Finding the Fourth Proportional to 289,054.20, 433,710.90 and 131,201.40

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Solution

The fourth proportional to 289,054.20, 433,710.90 and 131,201.40 is: 196,860.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,054.20 : 433,710.90 = 131,201.40 : x
  2. Step 2: Convert to fraction form
    289,054.20/433,710.90 = 131,201.40/x
  3. Step 3: Cross multiply
    289,054.20x = 433,710.90 × 131,201.40
  4. Step 4: Simplify right side
    289,054.20x = 56,903,477,275.26
  5. Step 5: Solve for x
    x = 56,903,477,275.26/289,054.20
  6. Step 6: Final answer
    x = 196,860.93

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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.