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Finding the Fourth Proportional to 288,928.99, 433,285.72 and 99,335.67

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Solution

The fourth proportional to 288,928.99, 433,285.72 and 99,335.67 is: 148,966.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,928.99 : 433,285.72 = 99,335.67 : x
  2. Step 2: Convert to fraction form
    288,928.99/433,285.72 = 99,335.67/x
  3. Step 3: Cross multiply
    288,928.99x = 433,285.72 × 99,335.67
  4. Step 4: Simplify right side
    288,928.99x = 43,040,726,800.95
  5. Step 5: Solve for x
    x = 43,040,726,800.95/288,928.99
  6. Step 6: Final answer
    x = 148,966.46

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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.