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Finding the Fourth Proportional to 630,188.51, 945,405.68 and 203,830.02

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Solution

The fourth proportional to 630,188.51, 945,405.68 and 203,830.02 is: 305,784.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    630,188.51 : 945,405.68 = 203,830.02 : x
  2. Step 2: Convert to fraction form
    630,188.51/945,405.68 = 203,830.02/x
  3. Step 3: Cross multiply
    630,188.51x = 945,405.68 × 203,830.02
  4. Step 4: Simplify right side
    630,188.51x = 192,702,057,643.36
  5. Step 5: Solve for x
    x = 192,702,057,643.36/630,188.51
  6. Step 6: Final answer
    x = 305,784.79

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.