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Finding the Fourth Proportional to 583,214, 874,821 and 139,982

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Solution

The fourth proportional to 583,214, 874,821 and 139,982 is: 209,973

Step by Step Solution

  1. Step 1: Write the proportion equation
    583,214 : 874,821 = 139,982 : x
  2. Step 2: Convert to fraction form
    583,214/874,821 = 139,982/x
  3. Step 3: Cross multiply
    583,214x = 874,821 × 139,982
  4. Step 4: Simplify right side
    583,214x = 122,459,193,222
  5. Step 5: Solve for x
    x = 122,459,193,222/583,214
  6. Step 6: Final answer
    x = 209,973

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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.