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Finding the Fourth Proportional to 289,422.52, 433,783.86 and 149,104.60

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Solution

The fourth proportional to 289,422.52, 433,783.86 and 149,104.60 is: 223,476.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,422.52 : 433,783.86 = 149,104.60 : x
  2. Step 2: Convert to fraction form
    289,422.52/433,783.86 = 149,104.60/x
  3. Step 3: Cross multiply
    289,422.52x = 433,783.86 × 149,104.60
  4. Step 4: Simplify right side
    289,422.52x = 64,679,168,931.76
  5. Step 5: Solve for x
    x = 64,679,168,931.76/289,422.52
  6. Step 6: Final answer
    x = 223,476.63

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1.5x scale

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.