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Finding the Fourth Proportional to 359,460, 496,054.80 and 200,484

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Solution

The fourth proportional to 359,460, 496,054.80 and 200,484 is: 276,667.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    359,460 : 496,054.80 = 200,484 : x
  2. Step 2: Convert to fraction form
    359,460/496,054.80 = 200,484/x
  3. Step 3: Cross multiply
    359,460x = 496,054.80 × 200,484
  4. Step 4: Simplify right side
    359,460x = 99,451,050,523.20
  5. Step 5: Solve for x
    x = 99,451,050,523.20/359,460
  6. Step 6: Final answer
    x = 276,667.92

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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.