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Finding the Fourth Proportional to 290,627.16, 401,101.32 and 163,300

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Solution

The fourth proportional to 290,627.16, 401,101.32 and 163,300 is: 225,374.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,627.16 : 401,101.32 = 163,300 : x
  2. Step 2: Convert to fraction form
    290,627.16/401,101.32 = 163,300/x
  3. Step 3: Cross multiply
    290,627.16x = 401,101.32 × 163,300
  4. Step 4: Simplify right side
    290,627.16x = 65,499,845,556
  5. Step 5: Solve for x
    x = 65,499,845,556/290,627.16
  6. Step 6: Final answer
    x = 225,374.14

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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.