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Finding the Fourth Proportional to 353,985.84, 488,022.84 and 342,978.48

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Solution

The fourth proportional to 353,985.84, 488,022.84 and 342,978.48 is: 472,847.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    353,985.84 : 488,022.84 = 342,978.48 : x
  2. Step 2: Convert to fraction form
    353,985.84/488,022.84 = 342,978.48/x
  3. Step 3: Cross multiply
    353,985.84x = 488,022.84 × 342,978.48
  4. Step 4: Simplify right side
    353,985.84x = 167,381,331,868.48
  5. Step 5: Solve for x
    x = 167,381,331,868.48/353,985.84
  6. Step 6: Final answer
    x = 472,847.53

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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.