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Finding the Fourth Proportional to 299,208.60, 447,938.10 and 290,460.60

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Solution

The fourth proportional to 299,208.60, 447,938.10 and 290,460.60 is: 434,841.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,208.60 : 447,938.10 = 290,460.60 : x
  2. Step 2: Convert to fraction form
    299,208.60/447,938.10 = 290,460.60/x
  3. Step 3: Cross multiply
    299,208.60x = 447,938.10 × 290,460.60
  4. Step 4: Simplify right side
    299,208.60x = 130,108,369,288.86
  5. Step 5: Solve for x
    x = 130,108,369,288.86/299,208.60
  6. Step 6: Final answer
    x = 434,841.68

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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.