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Finding the Fourth Proportional to 380,715.60, 570,814.20 and 144,022.80

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Solution

The fourth proportional to 380,715.60, 570,814.20 and 144,022.80 is: 215,936.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,715.60 : 570,814.20 = 144,022.80 : x
  2. Step 2: Convert to fraction form
    380,715.60/570,814.20 = 144,022.80/x
  3. Step 3: Cross multiply
    380,715.60x = 570,814.20 × 144,022.80
  4. Step 4: Simplify right side
    380,715.60x = 82,210,259,363.76
  5. Step 5: Solve for x
    x = 82,210,259,363.76/380,715.60
  6. Step 6: Final answer
    x = 215,936.15

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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.