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Finding the Fourth Proportional to 649,967.47, 897,000.81 and 363,514.21

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Solution

The fourth proportional to 649,967.47, 897,000.81 and 363,514.21 is: 501,675.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    649,967.47 : 897,000.81 = 363,514.21 : x
  2. Step 2: Convert to fraction form
    649,967.47/897,000.81 = 363,514.21/x
  3. Step 3: Cross multiply
    649,967.47x = 897,000.81 × 363,514.21
  4. Step 4: Simplify right side
    649,967.47x = 326,072,540,816.51
  5. Step 5: Solve for x
    x = 326,072,540,816.51/649,967.47
  6. Step 6: Final answer
    x = 501,675.17

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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.