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Finding the Fourth Proportional to 648,148.88, 894,445.52 and 357,760.54

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Solution

The fourth proportional to 648,148.88, 894,445.52 and 357,760.54 is: 493,709.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    648,148.88 : 894,445.52 = 357,760.54 : x
  2. Step 2: Convert to fraction form
    648,148.88/894,445.52 = 357,760.54/x
  3. Step 3: Cross multiply
    648,148.88x = 894,445.52 × 357,760.54
  4. Step 4: Simplify right side
    648,148.88x = 319,997,305,974.75
  5. Step 5: Solve for x
    x = 319,997,305,974.75/648,148.88
  6. Step 6: Final answer
    x = 493,709.57

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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.