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Finding the Fourth Proportional to 305,109.84, 421,050.42 and 170,973.84

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Solution

The fourth proportional to 305,109.84, 421,050.42 and 170,973.84 is: 235,943.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,109.84 : 421,050.42 = 170,973.84 : x
  2. Step 2: Convert to fraction form
    305,109.84/421,050.42 = 170,973.84/x
  3. Step 3: Cross multiply
    305,109.84x = 421,050.42 × 170,973.84
  4. Step 4: Simplify right side
    305,109.84x = 71,988,607,141.01
  5. Step 5: Solve for x
    x = 71,988,607,141.01/305,109.84
  6. Step 6: Final answer
    x = 235,943.25

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1.5x scale

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.