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Finding the Fourth Proportional to 380,809.71, 570,653.01 and 212,097.63

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Solution

The fourth proportional to 380,809.71, 570,653.01 and 212,097.63 is: 317,833.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,809.71 : 570,653.01 = 212,097.63 : x
  2. Step 2: Convert to fraction form
    380,809.71/570,653.01 = 212,097.63/x
  3. Step 3: Cross multiply
    380,809.71x = 570,653.01 × 212,097.63
  4. Step 4: Simplify right side
    380,809.71x = 121,034,150,973.37
  5. Step 5: Solve for x
    x = 121,034,150,973.37/380,809.71
  6. Step 6: Final answer
    x = 317,833.68

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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.