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Finding the Fourth Proportional to 562,486.20, 843,729.30 and 188,521.40

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Solution

The fourth proportional to 562,486.20, 843,729.30 and 188,521.40 is: 282,782.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    562,486.20 : 843,729.30 = 188,521.40 : x
  2. Step 2: Convert to fraction form
    562,486.20/843,729.30 = 188,521.40/x
  3. Step 3: Cross multiply
    562,486.20x = 843,729.30 × 188,521.40
  4. Step 4: Simplify right side
    562,486.20x = 159,061,028,857.02
  5. Step 5: Solve for x
    x = 159,061,028,857.02/562,486.20
  6. Step 6: Final answer
    x = 282,782.10

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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.