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Finding the Fourth Proportional to 557,408, 836,250.88 and 163,424

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Solution

The fourth proportional to 557,408, 836,250.88 and 163,424 is: 245,176.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    557,408 : 836,250.88 = 163,424 : x
  2. Step 2: Convert to fraction form
    557,408/836,250.88 = 163,424/x
  3. Step 3: Cross multiply
    557,408x = 836,250.88 × 163,424
  4. Step 4: Simplify right side
    557,408x = 136,663,463,813.12
  5. Step 5: Solve for x
    x = 136,663,463,813.12/557,408
  6. Step 6: Final answer
    x = 245,176.72

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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.