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Finding the Fourth Proportional to 630,651.92, 946,032.54 and 181,409.31

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Solution

The fourth proportional to 630,651.92, 946,032.54 and 181,409.31 is: 272,129.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    630,651.92 : 946,032.54 = 181,409.31 : x
  2. Step 2: Convert to fraction form
    630,651.92/946,032.54 = 181,409.31/x
  3. Step 3: Cross multiply
    630,651.92x = 946,032.54 × 181,409.31
  4. Step 4: Simplify right side
    630,651.92x = 171,619,110,318.95
  5. Step 5: Solve for x
    x = 171,619,110,318.95/630,651.92
  6. Step 6: Final answer
    x = 272,129.69

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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.