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Finding the Fourth Proportional to 706,120, 974,467.20 and 400,188.80

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Solution

The fourth proportional to 706,120, 974,467.20 and 400,188.80 is: 552,272.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    706,120 : 974,467.20 = 400,188.80 : x
  2. Step 2: Convert to fraction form
    706,120/974,467.20 = 400,188.80/x
  3. Step 3: Cross multiply
    706,120x = 974,467.20 × 400,188.80
  4. Step 4: Simplify right side
    706,120x = 389,970,859,407.36
  5. Step 5: Solve for x
    x = 389,970,859,407.36/706,120
  6. Step 6: Final answer
    x = 552,272.79

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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.