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Finding the Fourth Proportional to 387,875.25, 535,262.58 and 218,109.78

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Solution

The fourth proportional to 387,875.25, 535,262.58 and 218,109.78 is: 300,988.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    387,875.25 : 535,262.58 = 218,109.78 : x
  2. Step 2: Convert to fraction form
    387,875.25/535,262.58 = 218,109.78/x
  3. Step 3: Cross multiply
    387,875.25x = 535,262.58 × 218,109.78
  4. Step 4: Simplify right side
    387,875.25x = 116,746,003,566.03
  5. Step 5: Solve for x
    x = 116,746,003,566.03/387,875.25
  6. Step 6: Final answer
    x = 300,988.54

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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.