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Finding the Fourth Proportional to 387,802.13, 535,173.62 and 215,733.83

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Solution

The fourth proportional to 387,802.13, 535,173.62 and 215,733.83 is: 297,716.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    387,802.13 : 535,173.62 = 215,733.83 : x
  2. Step 2: Convert to fraction form
    387,802.13/535,173.62 = 215,733.83/x
  3. Step 3: Cross multiply
    387,802.13x = 535,173.62 × 215,733.83
  4. Step 4: Simplify right side
    387,802.13x = 115,455,051,003.03
  5. Step 5: Solve for x
    x = 115,455,051,003.03/387,802.13
  6. Step 6: Final answer
    x = 297,716.40

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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.