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Finding the Fourth Proportional to 418,388.32, 627,430.62 and 228,988.60

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Solution

The fourth proportional to 418,388.32, 627,430.62 and 228,988.60 is: 343,399.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    418,388.32 : 627,430.62 = 228,988.60 : x
  2. Step 2: Convert to fraction form
    418,388.32/627,430.62 = 228,988.60/x
  3. Step 3: Cross multiply
    418,388.32x = 627,430.62 × 228,988.60
  4. Step 4: Simplify right side
    418,388.32x = 143,674,459,270.93
  5. Step 5: Solve for x
    x = 143,674,459,270.93/418,388.32
  6. Step 6: Final answer
    x = 343,399.79

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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.