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Finding the Fourth Proportional to 419,245.13, 578,610.54 and 238,015.73

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Solution

The fourth proportional to 419,245.13, 578,610.54 and 238,015.73 is: 328,491.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,245.13 : 578,610.54 = 238,015.73 : x
  2. Step 2: Convert to fraction form
    419,245.13/578,610.54 = 238,015.73/x
  3. Step 3: Cross multiply
    419,245.13x = 578,610.54 × 238,015.73
  4. Step 4: Simplify right side
    419,245.13x = 137,718,411,510.32
  5. Step 5: Solve for x
    x = 137,718,411,510.32/419,245.13
  6. Step 6: Final answer
    x = 328,491.38

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.