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Finding the Fourth Proportional to 419,351.92, 578,729.97 and 315,800.74

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Solution

The fourth proportional to 419,351.92, 578,729.97 and 315,800.74 is: 435,823.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,351.92 : 578,729.97 = 315,800.74 : x
  2. Step 2: Convert to fraction form
    419,351.92/578,729.97 = 315,800.74/x
  3. Step 3: Cross multiply
    419,351.92x = 578,729.97 × 315,800.74
  4. Step 4: Simplify right side
    419,351.92x = 182,763,353,509.59
  5. Step 5: Solve for x
    x = 182,763,353,509.59/419,351.92
  6. Step 6: Final answer
    x = 435,823.34

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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.