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Finding the Fourth Proportional to 290,529.72, 400,948.14 and 218,783.16

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Solution

The fourth proportional to 290,529.72, 400,948.14 and 218,783.16 is: 301,933.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,529.72 : 400,948.14 = 218,783.16 : x
  2. Step 2: Convert to fraction form
    290,529.72/400,948.14 = 218,783.16/x
  3. Step 3: Cross multiply
    290,529.72x = 400,948.14 × 218,783.16
  4. Step 4: Simplify right side
    290,529.72x = 87,720,701,065.32
  5. Step 5: Solve for x
    x = 87,720,701,065.32/290,529.72
  6. Step 6: Final answer
    x = 301,933.66

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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.