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Finding the Fourth Proportional to 371,570.78, 512,764.80 and 201,804.92

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Solution

The fourth proportional to 371,570.78, 512,764.80 and 201,804.92 is: 278,489.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    371,570.78 : 512,764.80 = 201,804.92 : x
  2. Step 2: Convert to fraction form
    371,570.78/512,764.80 = 201,804.92/x
  3. Step 3: Cross multiply
    371,570.78x = 512,764.80 × 201,804.92
  4. Step 4: Simplify right side
    371,570.78x = 103,478,459,442.82
  5. Step 5: Solve for x
    x = 103,478,459,442.82/371,570.78
  6. Step 6: Final answer
    x = 278,489.23

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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.