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Finding the Fourth Proportional to 407,319.56, 610,256.46 and 170,140.28

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Solution

The fourth proportional to 407,319.56, 610,256.46 and 170,140.28 is: 254,908.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,319.56 : 610,256.46 = 170,140.28 : x
  2. Step 2: Convert to fraction form
    407,319.56/610,256.46 = 170,140.28/x
  3. Step 3: Cross multiply
    407,319.56x = 610,256.46 × 170,140.28
  4. Step 4: Simplify right side
    407,319.56x = 103,829,204,976.21
  5. Step 5: Solve for x
    x = 103,829,204,976.21/407,319.56
  6. Step 6: Final answer
    x = 254,908.47

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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.