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Finding the Fourth Proportional to 368,071, 507,933.12 and 204,726.40

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Solution

The fourth proportional to 368,071, 507,933.12 and 204,726.40 is: 282,519.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    368,071 : 507,933.12 = 204,726.40 : x
  2. Step 2: Convert to fraction form
    368,071/507,933.12 = 204,726.40/x
  3. Step 3: Cross multiply
    368,071x = 507,933.12 × 204,726.40
  4. Step 4: Simplify right side
    368,071x = 103,987,319,098.37
  5. Step 5: Solve for x
    x = 103,987,319,098.37/368,071
  6. Step 6: Final answer
    x = 282,519.73

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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.