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Finding the Fourth Proportional to 311,802.21, 430,285.77 and 168,562.22

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Solution

The fourth proportional to 311,802.21, 430,285.77 and 168,562.22 is: 232,615.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,802.21 : 430,285.77 = 168,562.22 : x
  2. Step 2: Convert to fraction form
    311,802.21/430,285.77 = 168,562.22/x
  3. Step 3: Cross multiply
    311,802.21x = 430,285.77 × 168,562.22
  4. Step 4: Simplify right side
    311,802.21x = 72,529,922,474.18
  5. Step 5: Solve for x
    x = 72,529,922,474.18/311,802.21
  6. Step 6: Final answer
    x = 232,615.16

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1.5x scale

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.