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Finding the Fourth Proportional to 320,119.67, 479,798.00 and 149,111.93

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Solution

The fourth proportional to 320,119.67, 479,798.00 and 149,111.93 is: 223,490.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    320,119.67 : 479,798.00 = 149,111.93 : x
  2. Step 2: Convert to fraction form
    320,119.67/479,798.00 = 149,111.93/x
  3. Step 3: Cross multiply
    320,119.67x = 479,798.00 × 149,111.93
  4. Step 4: Simplify right side
    320,119.67x = 71,543,606,803.25
  5. Step 5: Solve for x
    x = 71,543,606,803.25/320,119.67
  6. Step 6: Final answer
    x = 223,490.19

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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.