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Finding the Fourth Proportional to 288,434.50, 432,651.75 and 91,442.50

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Solution

The fourth proportional to 288,434.50, 432,651.75 and 91,442.50 is: 137,163.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,434.50 : 432,651.75 = 91,442.50 : x
  2. Step 2: Convert to fraction form
    288,434.50/432,651.75 = 91,442.50/x
  3. Step 3: Cross multiply
    288,434.50x = 432,651.75 × 91,442.50
  4. Step 4: Simplify right side
    288,434.50x = 39,562,757,649.38
  5. Step 5: Solve for x
    x = 39,562,757,649.38/288,434.50
  6. Step 6: Final answer
    x = 137,163.75

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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.