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Finding the Fourth Proportional to 210,814.00, 315,714.29 and 120,583.15

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Solution

The fourth proportional to 210,814.00, 315,714.29 and 120,583.15 is: 180,584.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,814.00 : 315,714.29 = 120,583.15 : x
  2. Step 2: Convert to fraction form
    210,814.00/315,714.29 = 120,583.15/x
  3. Step 3: Cross multiply
    210,814.00x = 315,714.29 × 120,583.15
  4. Step 4: Simplify right side
    210,814.00x = 38,069,822,196.01
  5. Step 5: Solve for x
    x = 38,069,822,196.01/210,814.00
  6. Step 6: Final answer
    x = 180,584.89

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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.