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Finding the Fourth Proportional to 357,207.69, 492,928.76 and 212,019.78

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Solution

The fourth proportional to 357,207.69, 492,928.76 and 212,019.78 is: 292,576.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,207.69 : 492,928.76 = 212,019.78 : x
  2. Step 2: Convert to fraction form
    357,207.69/492,928.76 = 212,019.78/x
  3. Step 3: Cross multiply
    357,207.69x = 492,928.76 × 212,019.78
  4. Step 4: Simplify right side
    357,207.69x = 104,510,646,190.77
  5. Step 5: Solve for x
    x = 104,510,646,190.77/357,207.69
  6. Step 6: Final answer
    x = 292,576.70

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.