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Finding the Fourth Proportional to 665,334.34, 997,987.10 and 185,549.40

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Solution

The fourth proportional to 665,334.34, 997,987.10 and 185,549.40 is: 278,320.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    665,334.34 : 997,987.10 = 185,549.40 : x
  2. Step 2: Convert to fraction form
    665,334.34/997,987.10 = 185,549.40/x
  3. Step 3: Cross multiply
    665,334.34x = 997,987.10 × 185,549.40
  4. Step 4: Simplify right side
    665,334.34x = 185,175,906,684.99
  5. Step 5: Solve for x
    x = 185,175,906,684.99/665,334.34
  6. Step 6: Final answer
    x = 278,320.08

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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.