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Finding the Fourth Proportional to 353,903.84, 488,865.04 and 282,782.56

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Solution

The fourth proportional to 353,903.84, 488,865.04 and 282,782.56 is: 390,621.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    353,903.84 : 488,865.04 = 282,782.56 : x
  2. Step 2: Convert to fraction form
    353,903.84/488,865.04 = 282,782.56/x
  3. Step 3: Cross multiply
    353,903.84x = 488,865.04 × 282,782.56
  4. Step 4: Simplify right side
    353,903.84x = 138,242,507,505.70
  5. Step 5: Solve for x
    x = 138,242,507,505.70/353,903.84
  6. Step 6: Final answer
    x = 390,621.67

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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.