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Finding the Fourth Proportional to 380,302.80, 524,797.05 and 208,187.48

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Solution

The fourth proportional to 380,302.80, 524,797.05 and 208,187.48 is: 287,287.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,302.80 : 524,797.05 = 208,187.48 : x
  2. Step 2: Convert to fraction form
    380,302.80/524,797.05 = 208,187.48/x
  3. Step 3: Cross multiply
    380,302.80x = 524,797.05 × 208,187.48
  4. Step 4: Simplify right side
    380,302.80x = 109,256,173,507.65
  5. Step 5: Solve for x
    x = 109,256,173,507.65/380,302.80
  6. Step 6: Final answer
    x = 287,287.32

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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.