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Finding the Fourth Proportional to 419,009.74, 578,246.56 and 237,729.32

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Solution

The fourth proportional to 419,009.74, 578,246.56 and 237,729.32 is: 328,073.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,009.74 : 578,246.56 = 237,729.32 : x
  2. Step 2: Convert to fraction form
    419,009.74/578,246.56 = 237,729.32/x
  3. Step 3: Cross multiply
    419,009.74x = 578,246.56 × 237,729.32
  4. Step 4: Simplify right side
    419,009.74x = 137,466,161,501.14
  5. Step 5: Solve for x
    x = 137,466,161,501.14/419,009.74
  6. Step 6: Final answer
    x = 328,073.90

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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.