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Finding the Fourth Proportional to 355,565.82, 490,640.65 and 210,376.06

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Solution

The fourth proportional to 355,565.82, 490,640.65 and 210,376.06 is: 290,295.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    355,565.82 : 490,640.65 = 210,376.06 : x
  2. Step 2: Convert to fraction form
    355,565.82/490,640.65 = 210,376.06/x
  3. Step 3: Cross multiply
    355,565.82x = 490,640.65 × 210,376.06
  4. Step 4: Simplify right side
    355,565.82x = 103,219,043,317.76
  5. Step 5: Solve for x
    x = 103,219,043,317.76/355,565.82
  6. Step 6: Final answer
    x = 290,295.18

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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.