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Finding the Fourth Proportional to 286,893.98, 429,420.81 and 153,440.54

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Solution

The fourth proportional to 286,893.98, 429,420.81 and 153,440.54 is: 229,668.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,893.98 : 429,420.81 = 153,440.54 : x
  2. Step 2: Convert to fraction form
    286,893.98/429,420.81 = 153,440.54/x
  3. Step 3: Cross multiply
    286,893.98x = 429,420.81 × 153,440.54
  4. Step 4: Simplify right side
    286,893.98x = 65,890,560,973.64
  5. Step 5: Solve for x
    x = 65,890,560,973.64/286,893.98
  6. Step 6: Final answer
    x = 229,668.68

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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.