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Finding the Fourth Proportional to 387,975.86, 535,401.53 and 218,209.98

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Solution

The fourth proportional to 387,975.86, 535,401.53 and 218,209.98 is: 301,126.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    387,975.86 : 535,401.53 = 218,209.98 : x
  2. Step 2: Convert to fraction form
    387,975.86/535,401.53 = 218,209.98/x
  3. Step 3: Cross multiply
    387,975.86x = 535,401.53 × 218,209.98
  4. Step 4: Simplify right side
    387,975.86x = 116,829,958,888.26
  5. Step 5: Solve for x
    x = 116,829,958,888.26/387,975.86
  6. Step 6: Final answer
    x = 301,126.88

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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.