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Finding the Fourth Proportional to 515,679.40, 711,626.52 and 286,223.32

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Solution

The fourth proportional to 515,679.40, 711,626.52 and 286,223.32 is: 394,982.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    515,679.40 : 711,626.52 = 286,223.32 : x
  2. Step 2: Convert to fraction form
    515,679.40/711,626.52 = 286,223.32/x
  3. Step 3: Cross multiply
    515,679.40x = 711,626.52 × 286,223.32
  4. Step 4: Simplify right side
    515,679.40x = 203,684,105,154.45
  5. Step 5: Solve for x
    x = 203,684,105,154.45/515,679.40
  6. Step 6: Final answer
    x = 394,982.05

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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.