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Finding the Fourth Proportional to 229,507.84, 344,843 and 145,307.59

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Solution

The fourth proportional to 229,507.84, 344,843 and 145,307.59 is: 218,329.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,507.84 : 344,843 = 145,307.59 : x
  2. Step 2: Convert to fraction form
    229,507.84/344,843 = 145,307.59/x
  3. Step 3: Cross multiply
    229,507.84x = 344,843 × 145,307.59
  4. Step 4: Simplify right side
    229,507.84x = 50,108,305,258.37
  5. Step 5: Solve for x
    x = 50,108,305,258.37/229,507.84
  6. Step 6: Final answer
    x = 218,329.38

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.