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Finding the Fourth Proportional to 289,602.44, 399,667.20 and 162,319.04

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Solution

The fourth proportional to 289,602.44, 399,667.20 and 162,319.04 is: 224,009.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,602.44 : 399,667.20 = 162,319.04 : x
  2. Step 2: Convert to fraction form
    289,602.44/399,667.20 = 162,319.04/x
  3. Step 3: Cross multiply
    289,602.44x = 399,667.20 × 162,319.04
  4. Step 4: Simplify right side
    289,602.44x = 64,873,596,223.49
  5. Step 5: Solve for x
    x = 64,873,596,223.49/289,602.44
  6. Step 6: Final answer
    x = 224,009.15

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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.