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Finding the Fourth Proportional to 285,484.83, 427,918.22 and 185,716.32

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Solution

The fourth proportional to 285,484.83, 427,918.22 and 185,716.32 is: 278,373.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,484.83 : 427,918.22 = 185,716.32 : x
  2. Step 2: Convert to fraction form
    285,484.83/427,918.22 = 185,716.32/x
  3. Step 3: Cross multiply
    285,484.83x = 427,918.22 × 185,716.32
  4. Step 4: Simplify right side
    285,484.83x = 79,471,397,079.35
  5. Step 5: Solve for x
    x = 79,471,397,079.35/285,484.83
  6. Step 6: Final answer
    x = 278,373.45

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.