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Finding the Fourth Proportional to 292,329, 438,493.50 and 70,713

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Solution

The fourth proportional to 292,329, 438,493.50 and 70,713 is: 106,069.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,329 : 438,493.50 = 70,713 : x
  2. Step 2: Convert to fraction form
    292,329/438,493.50 = 70,713/x
  3. Step 3: Cross multiply
    292,329x = 438,493.50 × 70,713
  4. Step 4: Simplify right side
    292,329x = 31,007,190,865.50
  5. Step 5: Solve for x
    x = 31,007,190,865.50/292,329
  6. Step 6: Final answer
    x = 106,069.50

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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.