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Finding the Fourth Proportional to 401,641.34, 553,832.24 and 305,023.32

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Solution

The fourth proportional to 401,641.34, 553,832.24 and 305,023.32 is: 420,603.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    401,641.34 : 553,832.24 = 305,023.32 : x
  2. Step 2: Convert to fraction form
    401,641.34/553,832.24 = 305,023.32/x
  3. Step 3: Cross multiply
    401,641.34x = 553,832.24 × 305,023.32
  4. Step 4: Simplify right side
    401,641.34x = 168,931,747,042.72
  5. Step 5: Solve for x
    x = 168,931,747,042.72/401,641.34
  6. Step 6: Final answer
    x = 420,603.49

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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.