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Finding the Fourth Proportional to 387,478.56, 580,865.76 and 345,488.16

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Solution

The fourth proportional to 387,478.56, 580,865.76 and 345,488.16 is: 517,918.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    387,478.56 : 580,865.76 = 345,488.16 : x
  2. Step 2: Convert to fraction form
    387,478.56/580,865.76 = 345,488.16/x
  3. Step 3: Cross multiply
    387,478.56x = 580,865.76 × 345,488.16
  4. Step 4: Simplify right side
    387,478.56x = 200,682,242,629.40
  5. Step 5: Solve for x
    x = 200,682,242,629.40/387,478.56
  6. Step 6: Final answer
    x = 517,918.31

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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.