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Finding the Fourth Proportional to 493,420.37, 680,925.74 and 289,474.83

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Solution

The fourth proportional to 493,420.37, 680,925.74 and 289,474.83 is: 399,478.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    493,420.37 : 680,925.74 = 289,474.83 : x
  2. Step 2: Convert to fraction form
    493,420.37/680,925.74 = 289,474.83/x
  3. Step 3: Cross multiply
    493,420.37x = 680,925.74 × 289,474.83
  4. Step 4: Simplify right side
    493,420.37x = 197,110,861,381.75
  5. Step 5: Solve for x
    x = 197,110,861,381.75/493,420.37
  6. Step 6: Final answer
    x = 399,478.57

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1.5x scale

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.