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Finding the Fourth Proportional to 357,242.82, 492,995.80 and 212,077.72

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Solution

The fourth proportional to 357,242.82, 492,995.80 and 212,077.72 is: 292,667.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,242.82 : 492,995.80 = 212,077.72 : x
  2. Step 2: Convert to fraction form
    357,242.82/492,995.80 = 212,077.72/x
  3. Step 3: Cross multiply
    357,242.82x = 492,995.80 × 212,077.72
  4. Step 4: Simplify right side
    357,242.82x = 104,553,423,470.89
  5. Step 5: Solve for x
    x = 104,553,423,470.89/357,242.82
  6. Step 6: Final answer
    x = 292,667.67

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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.