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Finding the Fourth Proportional to 313,359.40, 470,039.10 and 194,969.80

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Solution

The fourth proportional to 313,359.40, 470,039.10 and 194,969.80 is: 292,454.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,359.40 : 470,039.10 = 194,969.80 : x
  2. Step 2: Convert to fraction form
    313,359.40/470,039.10 = 194,969.80/x
  3. Step 3: Cross multiply
    313,359.40x = 470,039.10 × 194,969.80
  4. Step 4: Simplify right side
    313,359.40x = 91,643,429,319.18
  5. Step 5: Solve for x
    x = 91,643,429,319.18/313,359.40
  6. Step 6: Final answer
    x = 292,454.70

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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.