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Finding the Fourth Proportional to 210,814.03, 315,714.34 and 120,583.32

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Solution

The fourth proportional to 210,814.03, 315,714.34 and 120,583.32 is: 180,585.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,814.03 : 315,714.34 = 120,583.32 : x
  2. Step 2: Convert to fraction form
    210,814.03/315,714.34 = 120,583.32/x
  3. Step 3: Cross multiply
    210,814.03x = 315,714.34 × 120,583.32
  4. Step 4: Simplify right side
    210,814.03x = 38,069,883,288.81
  5. Step 5: Solve for x
    x = 38,069,883,288.81/210,814.03
  6. Step 6: Final answer
    x = 180,585.15

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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.