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Finding the Fourth Proportional to 303,570, 455,533.68 and 135,098.16

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Solution

The fourth proportional to 303,570, 455,533.68 and 135,098.16 is: 202,726.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    303,570 : 455,533.68 = 135,098.16 : x
  2. Step 2: Convert to fraction form
    303,570/455,533.68 = 135,098.16/x
  3. Step 3: Cross multiply
    303,570x = 455,533.68 × 135,098.16
  4. Step 4: Simplify right side
    303,570x = 61,541,761,986.03
  5. Step 5: Solve for x
    x = 61,541,761,986.03/303,570
  6. Step 6: Final answer
    x = 202,726.76

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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.