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Finding the Fourth Proportional to 311,804.21, 430,288.53 and 168,564.22

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Solution

The fourth proportional to 311,804.21, 430,288.53 and 168,564.22 is: 232,617.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,804.21 : 430,288.53 = 168,564.22 : x
  2. Step 2: Convert to fraction form
    311,804.21/430,288.53 = 168,564.22/x
  3. Step 3: Cross multiply
    311,804.21x = 430,288.53 × 168,564.22
  4. Step 4: Simplify right side
    311,804.21x = 72,531,250,434.40
  5. Step 5: Solve for x
    x = 72,531,250,434.40/311,804.21
  6. Step 6: Final answer
    x = 232,617.93

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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.