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Finding the Fourth Proportional to 315,261.82, 434,947.64 and 242,686.90

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Solution

The fourth proportional to 315,261.82, 434,947.64 and 242,686.90 is: 334,820.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,261.82 : 434,947.64 = 242,686.90 : x
  2. Step 2: Convert to fraction form
    315,261.82/434,947.64 = 242,686.90/x
  3. Step 3: Cross multiply
    315,261.82x = 434,947.64 × 242,686.90
  4. Step 4: Simplify right side
    315,261.82x = 105,556,093,744.17
  5. Step 5: Solve for x
    x = 105,556,093,744.17/315,261.82
  6. Step 6: Final answer
    x = 334,820.42

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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.