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Finding the Fourth Proportional to 553,706, 830,697.72 and 159,722

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Solution

The fourth proportional to 553,706, 830,697.72 and 159,722 is: 239,623.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    553,706 : 830,697.72 = 159,722 : x
  2. Step 2: Convert to fraction form
    553,706/830,697.72 = 159,722/x
  3. Step 3: Cross multiply
    553,706x = 830,697.72 × 159,722
  4. Step 4: Simplify right side
    553,706x = 132,680,701,233.84
  5. Step 5: Solve for x
    x = 132,680,701,233.84/553,706
  6. Step 6: Final answer
    x = 239,623.02

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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.