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Finding the Fourth Proportional to 345,502.69, 476,630.74 and 202,174

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Solution

The fourth proportional to 345,502.69, 476,630.74 and 202,174 is: 278,904.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    345,502.69 : 476,630.74 = 202,174 : x
  2. Step 2: Convert to fraction form
    345,502.69/476,630.74 = 202,174/x
  3. Step 3: Cross multiply
    345,502.69x = 476,630.74 × 202,174
  4. Step 4: Simplify right side
    345,502.69x = 96,362,343,228.76
  5. Step 5: Solve for x
    x = 96,362,343,228.76/345,502.69
  6. Step 6: Final answer
    x = 278,904.76

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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.