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Finding the Fourth Proportional to 346,709.80, 520,064.70 and 199,253.80

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Solution

The fourth proportional to 346,709.80, 520,064.70 and 199,253.80 is: 298,880.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    346,709.80 : 520,064.70 = 199,253.80 : x
  2. Step 2: Convert to fraction form
    346,709.80/520,064.70 = 199,253.80/x
  3. Step 3: Cross multiply
    346,709.80x = 520,064.70 × 199,253.80
  4. Step 4: Simplify right side
    346,709.80x = 103,624,867,720.86
  5. Step 5: Solve for x
    x = 103,624,867,720.86/346,709.80
  6. Step 6: Final answer
    x = 298,880.70

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.