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Finding the Fourth Proportional to 380,814.71, 570,660.51 and 212,102.63

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Solution

The fourth proportional to 380,814.71, 570,660.51 and 212,102.63 is: 317,841.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,814.71 : 570,660.51 = 212,102.63 : x
  2. Step 2: Convert to fraction form
    380,814.71/570,660.51 = 212,102.63/x
  3. Step 3: Cross multiply
    380,814.71x = 570,660.51 × 212,102.63
  4. Step 4: Simplify right side
    380,814.71x = 121,038,595,008.14
  5. Step 5: Solve for x
    x = 121,038,595,008.14/380,814.71
  6. Step 6: Final answer
    x = 317,841.18

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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.