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Finding the Fourth Proportional to 290,920.98, 401,473.44 and 163,595.46

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Solution

The fourth proportional to 290,920.98, 401,473.44 and 163,595.46 is: 225,763.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,920.98 : 401,473.44 = 163,595.46 : x
  2. Step 2: Convert to fraction form
    290,920.98/401,473.44 = 163,595.46/x
  3. Step 3: Cross multiply
    290,920.98x = 401,473.44 × 163,595.46
  4. Step 4: Simplify right side
    290,920.98x = 65,679,232,094.58
  5. Step 5: Solve for x
    x = 65,679,232,094.58/290,920.98
  6. Step 6: Final answer
    x = 225,763.13

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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.