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Finding the Fourth Proportional to 430,151.16, 645,212.16 and 163,902.12

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Solution

The fourth proportional to 430,151.16, 645,212.16 and 163,902.12 is: 245,847.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    430,151.16 : 645,212.16 = 163,902.12 : x
  2. Step 2: Convert to fraction form
    430,151.16/645,212.16 = 163,902.12/x
  3. Step 3: Cross multiply
    430,151.16x = 645,212.16 × 163,902.12
  4. Step 4: Simplify right side
    430,151.16x = 105,751,640,873.78
  5. Step 5: Solve for x
    x = 105,751,640,873.78/430,151.16
  6. Step 6: Final answer
    x = 245,847.62

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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.