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Finding the Fourth Proportional to 289,417.52, 433,776.36 and 149,099.60

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Solution

The fourth proportional to 289,417.52, 433,776.36 and 149,099.60 is: 223,469.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,417.52 : 433,776.36 = 149,099.60 : x
  2. Step 2: Convert to fraction form
    289,417.52/433,776.36 = 149,099.60/x
  3. Step 3: Cross multiply
    289,417.52x = 433,776.36 × 149,099.60
  4. Step 4: Simplify right side
    289,417.52x = 64,675,881,765.46
  5. Step 5: Solve for x
    x = 64,675,881,765.46/289,417.52
  6. Step 6: Final answer
    x = 223,469.13

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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.