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Finding the Fourth Proportional to 429,021.35, 643,384.40 and 162,857.98

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Solution

The fourth proportional to 429,021.35, 643,384.40 and 162,857.98 is: 244,230.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    429,021.35 : 643,384.40 = 162,857.98 : x
  2. Step 2: Convert to fraction form
    429,021.35/643,384.40 = 162,857.98/x
  3. Step 3: Cross multiply
    429,021.35x = 643,384.40 × 162,857.98
  4. Step 4: Simplify right side
    429,021.35x = 104,780,283,747.51
  5. Step 5: Solve for x
    x = 104,780,283,747.51/429,021.35
  6. Step 6: Final answer
    x = 244,230.93

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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.