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Finding the Fourth Proportional to 507,857.63, 761,885.96 and 188,012.12

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Solution

The fourth proportional to 507,857.63, 761,885.96 and 188,012.12 is: 282,055.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    507,857.63 : 761,885.96 = 188,012.12 : x
  2. Step 2: Convert to fraction form
    507,857.63/761,885.96 = 188,012.12/x
  3. Step 3: Cross multiply
    507,857.63x = 761,885.96 × 188,012.12
  4. Step 4: Simplify right side
    507,857.63x = 143,243,789,788.35
  5. Step 5: Solve for x
    x = 143,243,789,788.35/507,857.63
  6. Step 6: Final answer
    x = 282,055.01

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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.