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Finding the Fourth Proportional to 355,827.69, 490,993.72 and 212,557.32

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Solution

The fourth proportional to 355,827.69, 490,993.72 and 212,557.32 is: 293,300.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    355,827.69 : 490,993.72 = 212,557.32 : x
  2. Step 2: Convert to fraction form
    355,827.69/490,993.72 = 212,557.32/x
  3. Step 3: Cross multiply
    355,827.69x = 490,993.72 × 212,557.32
  4. Step 4: Simplify right side
    355,827.69x = 104,364,308,728.64
  5. Step 5: Solve for x
    x = 104,364,308,728.64/355,827.69
  6. Step 6: Final answer
    x = 293,300.13

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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.