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Finding the Fourth Proportional to 292,542, 438,813 and 70,926

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Solution

The fourth proportional to 292,542, 438,813 and 70,926 is: 106,389

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,542 : 438,813 = 70,926 : x
  2. Step 2: Convert to fraction form
    292,542/438,813 = 70,926/x
  3. Step 3: Cross multiply
    292,542x = 438,813 × 70,926
  4. Step 4: Simplify right side
    292,542x = 31,123,250,838
  5. Step 5: Solve for x
    x = 31,123,250,838/292,542
  6. Step 6: Final answer
    x = 106,389

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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.