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Finding the Fourth Proportional to 288,464.67, 398,000.16 and 165,950.64

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Solution

The fourth proportional to 288,464.67, 398,000.16 and 165,950.64 is: 228,965.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,464.67 : 398,000.16 = 165,950.64 : x
  2. Step 2: Convert to fraction form
    288,464.67/398,000.16 = 165,950.64/x
  3. Step 3: Cross multiply
    288,464.67x = 398,000.16 × 165,950.64
  4. Step 4: Simplify right side
    288,464.67x = 66,048,381,272.10
  5. Step 5: Solve for x
    x = 66,048,381,272.10/288,464.67
  6. Step 6: Final answer
    x = 228,965.24

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.