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Finding the Fourth Proportional to 456,438.85, 684,695.28 and 156,919.67

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Solution

The fourth proportional to 456,438.85, 684,695.28 and 156,919.67 is: 235,392.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    456,438.85 : 684,695.28 = 156,919.67 : x
  2. Step 2: Convert to fraction form
    456,438.85/684,695.28 = 156,919.67/x
  3. Step 3: Cross multiply
    456,438.85x = 684,695.28 × 156,919.67
  4. Step 4: Simplify right side
    456,438.85x = 107,442,157,388.16
  5. Step 5: Solve for x
    x = 107,442,157,388.16/456,438.85
  6. Step 6: Final answer
    x = 235,392.23

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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.