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Finding the Fourth Proportional to 501,171, 751,782.03 and 146,211.81

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Solution

The fourth proportional to 501,171, 751,782.03 and 146,211.81 is: 219,325.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    501,171 : 751,782.03 = 146,211.81 : x
  2. Step 2: Convert to fraction form
    501,171/751,782.03 = 146,211.81/x
  3. Step 3: Cross multiply
    501,171x = 751,782.03 × 146,211.81
  4. Step 4: Simplify right side
    501,171x = 109,919,411,331.77
  5. Step 5: Solve for x
    x = 109,919,411,331.77/501,171
  6. Step 6: Final answer
    x = 219,325.16

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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.