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Finding the Fourth Proportional to 378,360, 522,140.34 and 208,600.20

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Solution

The fourth proportional to 378,360, 522,140.34 and 208,600.20 is: 287,870.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,360 : 522,140.34 = 208,600.20 : x
  2. Step 2: Convert to fraction form
    378,360/522,140.34 = 208,600.20/x
  3. Step 3: Cross multiply
    378,360x = 522,140.34 × 208,600.20
  4. Step 4: Simplify right side
    378,360x = 108,918,579,352.07
  5. Step 5: Solve for x
    x = 108,918,579,352.07/378,360
  6. Step 6: Final answer
    x = 287,870.23

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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.