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Finding the Fourth Proportional to 387,284.58, 534,236.94 and 359,884.35

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Solution

The fourth proportional to 387,284.58, 534,236.94 and 359,884.35 is: 496,439.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    387,284.58 : 534,236.94 = 359,884.35 : x
  2. Step 2: Convert to fraction form
    387,284.58/534,236.94 = 359,884.35/x
  3. Step 3: Cross multiply
    387,284.58x = 534,236.94 × 359,884.35
  4. Step 4: Simplify right side
    387,284.58x = 192,263,513,897.89
  5. Step 5: Solve for x
    x = 192,263,513,897.89/387,284.58
  6. Step 6: Final answer
    x = 496,439.89

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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.