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Finding the Fourth Proportional to 664,970.96, 917,682.57 and 393,271.76

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Solution

The fourth proportional to 664,970.96, 917,682.57 and 393,271.76 is: 542,728.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    664,970.96 : 917,682.57 = 393,271.76 : x
  2. Step 2: Convert to fraction form
    664,970.96/917,682.57 = 393,271.76/x
  3. Step 3: Cross multiply
    664,970.96x = 917,682.57 × 393,271.76
  4. Step 4: Simplify right side
    664,970.96x = 360,898,641,719.43
  5. Step 5: Solve for x
    x = 360,898,641,719.43/664,970.96
  6. Step 6: Final answer
    x = 542,728.42

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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.