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Finding the Fourth Proportional to 380,929.46, 570,892.86 and 212,529.07

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Solution

The fourth proportional to 380,929.46, 570,892.86 and 212,529.07 is: 318,513.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,929.46 : 570,892.86 = 212,529.07 : x
  2. Step 2: Convert to fraction form
    380,929.46/570,892.86 = 212,529.07/x
  3. Step 3: Cross multiply
    380,929.46x = 570,892.86 × 212,529.07
  4. Step 4: Simplify right side
    380,929.46x = 121,331,329,319.06
  5. Step 5: Solve for x
    x = 121,331,329,319.06/380,929.46
  6. Step 6: Final answer
    x = 318,513.91

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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.