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Finding the Fourth Proportional to 358,633, 537,964.32 and 105,913.54

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Solution

The fourth proportional to 358,633, 537,964.32 and 105,913.54 is: 158,874.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    358,633 : 537,964.32 = 105,913.54 : x
  2. Step 2: Convert to fraction form
    358,633/537,964.32 = 105,913.54/x
  3. Step 3: Cross multiply
    358,633x = 537,964.32 × 105,913.54
  4. Step 4: Simplify right side
    358,633x = 56,977,705,524.89
  5. Step 5: Solve for x
    x = 56,977,705,524.89/358,633
  6. Step 6: Final answer
    x = 158,874.69

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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.