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Finding the Fourth Proportional to 557,638.80, 836,458.20 and 401,341.20

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Solution

The fourth proportional to 557,638.80, 836,458.20 and 401,341.20 is: 602,011.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    557,638.80 : 836,458.20 = 401,341.20 : x
  2. Step 2: Convert to fraction form
    557,638.80/836,458.20 = 401,341.20/x
  3. Step 3: Cross multiply
    557,638.80x = 836,458.20 × 401,341.20
  4. Step 4: Simplify right side
    557,638.80x = 335,705,137,737.84
  5. Step 5: Solve for x
    x = 335,705,137,737.84/557,638.80
  6. Step 6: Final answer
    x = 602,011.80

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.