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Finding the Fourth Proportional to 217,471.64, 324,870.65 and 156,983.32

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Solution

The fourth proportional to 217,471.64, 324,870.65 and 156,983.32 is: 234,509.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,471.64 : 324,870.65 = 156,983.32 : x
  2. Step 2: Convert to fraction form
    217,471.64/324,870.65 = 156,983.32/x
  3. Step 3: Cross multiply
    217,471.64x = 324,870.65 × 156,983.32
  4. Step 4: Simplify right side
    217,471.64x = 50,999,271,590.02
  5. Step 5: Solve for x
    x = 50,999,271,590.02/217,471.64
  6. Step 6: Final answer
    x = 234,509.99

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.