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Finding the Fourth Proportional to 297,390, 410,345.28 and 168,327.84

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Solution

The fourth proportional to 297,390, 410,345.28 and 168,327.84 is: 232,262.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,390 : 410,345.28 = 168,327.84 : x
  2. Step 2: Convert to fraction form
    297,390/410,345.28 = 168,327.84/x
  3. Step 3: Cross multiply
    297,390x = 410,345.28 × 168,327.84
  4. Step 4: Simplify right side
    297,390x = 69,072,534,636.60
  5. Step 5: Solve for x
    x = 69,072,534,636.60/297,390
  6. Step 6: Final answer
    x = 232,262.47

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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.