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Finding the Fourth Proportional to 631,712.70, 947,465.22 and 226,821.06

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Solution

The fourth proportional to 631,712.70, 947,465.22 and 226,821.06 is: 340,194.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    631,712.70 : 947,465.22 = 226,821.06 : x
  2. Step 2: Convert to fraction form
    631,712.70/947,465.22 = 226,821.06/x
  3. Step 3: Cross multiply
    631,712.70x = 947,465.22 × 226,821.06
  4. Step 4: Simplify right side
    631,712.70x = 214,905,065,513.53
  5. Step 5: Solve for x
    x = 214,905,065,513.53/631,712.70
  6. Step 6: Final answer
    x = 340,194.31

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Double scale
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1.5x scale

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.