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Finding the Fourth Proportional to 371,200.69, 512,258.30 and 201,434.77

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Solution

The fourth proportional to 371,200.69, 512,258.30 and 201,434.77 is: 277,980.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    371,200.69 : 512,258.30 = 201,434.77 : x
  2. Step 2: Convert to fraction form
    371,200.69/512,258.30 = 201,434.77/x
  3. Step 3: Cross multiply
    371,200.69x = 512,258.30 × 201,434.77
  4. Step 4: Simplify right side
    371,200.69x = 103,186,632,841.09
  5. Step 5: Solve for x
    x = 103,186,632,841.09/371,200.69
  6. Step 6: Final answer
    x = 277,980.71

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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.