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Finding the Fourth Proportional to 461,718.23, 637,181.85 and 289,643.43

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Solution

The fourth proportional to 461,718.23, 637,181.85 and 289,643.43 is: 399,714.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    461,718.23 : 637,181.85 = 289,643.43 : x
  2. Step 2: Convert to fraction form
    461,718.23/637,181.85 = 289,643.43/x
  3. Step 3: Cross multiply
    461,718.23x = 637,181.85 × 289,643.43
  4. Step 4: Simplify right side
    461,718.23x = 184,555,536,567.75
  5. Step 5: Solve for x
    x = 184,555,536,567.75/461,718.23
  6. Step 6: Final answer
    x = 399,714.65

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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.