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Finding the Fourth Proportional to 461,644.34, 637,079.96 and 289,569.61

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Solution

The fourth proportional to 461,644.34, 637,079.96 and 289,569.61 is: 399,612.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    461,644.34 : 637,079.96 = 289,569.61 : x
  2. Step 2: Convert to fraction form
    461,644.34/637,079.96 = 289,569.61/x
  3. Step 3: Cross multiply
    461,644.34x = 637,079.96 × 289,569.61
  4. Step 4: Simplify right side
    461,644.34x = 184,478,995,556.02
  5. Step 5: Solve for x
    x = 184,478,995,556.02/461,644.34
  6. Step 6: Final answer
    x = 399,612.82

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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.