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Finding the Fourth Proportional to 359,482.45, 496,129.72 and 206,520.36

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Solution

The fourth proportional to 359,482.45, 496,129.72 and 206,520.36 is: 285,023.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    359,482.45 : 496,129.72 = 206,520.36 : x
  2. Step 2: Convert to fraction form
    359,482.45/496,129.72 = 206,520.36/x
  3. Step 3: Cross multiply
    359,482.45x = 496,129.72 × 206,520.36
  4. Step 4: Simplify right side
    359,482.45x = 102,460,888,381.10
  5. Step 5: Solve for x
    x = 102,460,888,381.10/359,482.45
  6. Step 6: Final answer
    x = 285,023.34

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.