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Finding the Fourth Proportional to 286,504.81, 429,757.22 and 108,970.81

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Solution

The fourth proportional to 286,504.81, 429,757.22 and 108,970.81 is: 163,456.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,504.81 : 429,757.22 = 108,970.81 : x
  2. Step 2: Convert to fraction form
    286,504.81/429,757.22 = 108,970.81/x
  3. Step 3: Cross multiply
    286,504.81x = 429,757.22 × 108,970.81
  4. Step 4: Simplify right side
    286,504.81x = 46,830,991,821.89
  5. Step 5: Solve for x
    x = 46,830,991,821.89/286,504.81
  6. Step 6: Final answer
    x = 163,456.22

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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.