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Finding the Fourth Proportional to 590,990, 886,485 and 147,758

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Solution

The fourth proportional to 590,990, 886,485 and 147,758 is: 221,637

Step by Step Solution

  1. Step 1: Write the proportion equation
    590,990 : 886,485 = 147,758 : x
  2. Step 2: Convert to fraction form
    590,990/886,485 = 147,758/x
  3. Step 3: Cross multiply
    590,990x = 886,485 × 147,758
  4. Step 4: Simplify right side
    590,990x = 130,985,250,630
  5. Step 5: Solve for x
    x = 130,985,250,630/590,990
  6. Step 6: Final answer
    x = 221,637

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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.