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Finding the Fourth Proportional to 380,443.81, 525,028.97 and 210,677.94

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Solution

The fourth proportional to 380,443.81, 525,028.97 and 210,677.94 is: 290,744.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,443.81 : 525,028.97 = 210,677.94 : x
  2. Step 2: Convert to fraction form
    380,443.81/525,028.97 = 210,677.94/x
  3. Step 3: Cross multiply
    380,443.81x = 525,028.97 × 210,677.94
  4. Step 4: Simplify right side
    380,443.81x = 110,612,021,839.92
  5. Step 5: Solve for x
    x = 110,612,021,839.92/380,443.81
  6. Step 6: Final answer
    x = 290,744.70

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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.