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Finding the Fourth Proportional to 493,145.49, 739,710.18 and 156,185.64

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Solution

The fourth proportional to 493,145.49, 739,710.18 and 156,185.64 is: 234,275.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    493,145.49 : 739,710.18 = 156,185.64 : x
  2. Step 2: Convert to fraction form
    493,145.49/739,710.18 = 156,185.64/x
  3. Step 3: Cross multiply
    493,145.49x = 739,710.18 × 156,185.64
  4. Step 4: Simplify right side
    493,145.49x = 115,532,107,877.82
  5. Step 5: Solve for x
    x = 115,532,107,877.82/493,145.49
  6. Step 6: Final answer
    x = 234,275.91

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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.