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Finding the Fourth Proportional to 359,727.48, 496,259.46 and 208,737

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Solution

The fourth proportional to 359,727.48, 496,259.46 and 208,737 is: 287,961.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    359,727.48 : 496,259.46 = 208,737 : x
  2. Step 2: Convert to fraction form
    359,727.48/496,259.46 = 208,737/x
  3. Step 3: Cross multiply
    359,727.48x = 496,259.46 × 208,737
  4. Step 4: Simplify right side
    359,727.48x = 103,587,710,902.02
  5. Step 5: Solve for x
    x = 103,587,710,902.02/359,727.48
  6. Step 6: Final answer
    x = 287,961.63

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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.