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Finding the Fourth Proportional to 328,657.84, 493,041.23 and 115,370.42

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Solution

The fourth proportional to 328,657.84, 493,041.23 and 115,370.42 is: 173,074.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    328,657.84 : 493,041.23 = 115,370.42 : x
  2. Step 2: Convert to fraction form
    328,657.84/493,041.23 = 115,370.42/x
  3. Step 3: Cross multiply
    328,657.84x = 493,041.23 × 115,370.42
  4. Step 4: Simplify right side
    328,657.84x = 56,882,371,605.64
  5. Step 5: Solve for x
    x = 56,882,371,605.64/328,657.84
  6. Step 6: Final answer
    x = 173,074.75

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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.