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Finding the Fourth Proportional to 380,178.24, 570,465.92 and 275,858.24

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Solution

The fourth proportional to 380,178.24, 570,465.92 and 275,858.24 is: 413,931.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,178.24 : 570,465.92 = 275,858.24 : x
  2. Step 2: Convert to fraction form
    380,178.24/570,465.92 = 275,858.24/x
  3. Step 3: Cross multiply
    380,178.24x = 570,465.92 × 275,858.24
  4. Step 4: Simplify right side
    380,178.24x = 157,367,724,671.18
  5. Step 5: Solve for x
    x = 157,367,724,671.18/380,178.24
  6. Step 6: Final answer
    x = 413,931.44

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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.