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Finding the Fourth Proportional to 290,969.31, 401,405.78 and 210,269.01

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Solution

The fourth proportional to 290,969.31, 401,405.78 and 210,269.01 is: 290,075.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,969.31 : 401,405.78 = 210,269.01 : x
  2. Step 2: Convert to fraction form
    290,969.31/401,405.78 = 210,269.01/x
  3. Step 3: Cross multiply
    290,969.31x = 401,405.78 × 210,269.01
  4. Step 4: Simplify right side
    290,969.31x = 84,403,196,817.06
  5. Step 5: Solve for x
    x = 84,403,196,817.06/290,969.31
  6. Step 6: Final answer
    x = 290,075.94

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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.