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Finding the Fourth Proportional to 359,724.49, 496,479.83 and 343,780.81

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Solution

The fourth proportional to 359,724.49, 496,479.83 and 343,780.81 is: 474,474.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    359,724.49 : 496,479.83 = 343,780.81 : x
  2. Step 2: Convert to fraction form
    359,724.49/496,479.83 = 343,780.81/x
  3. Step 3: Cross multiply
    359,724.49x = 496,479.83 × 343,780.81
  4. Step 4: Simplify right side
    359,724.49x = 170,680,238,106.06
  5. Step 5: Solve for x
    x = 170,680,238,106.06/359,724.49
  6. Step 6: Final answer
    x = 474,474.89

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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.