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Finding the Fourth Proportional to 417,672, 576,387.36 and 238,858.56

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Solution

The fourth proportional to 417,672, 576,387.36 and 238,858.56 is: 329,624.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,672 : 576,387.36 = 238,858.56 : x
  2. Step 2: Convert to fraction form
    417,672/576,387.36 = 238,858.56/x
  3. Step 3: Cross multiply
    417,672x = 576,387.36 × 238,858.56
  4. Step 4: Simplify right side
    417,672x = 137,675,054,811.80
  5. Step 5: Solve for x
    x = 137,675,054,811.80/417,672
  6. Step 6: Final answer
    x = 329,624.81

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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.