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Finding the Fourth Proportional to 290,980.98, 434,338.74 and 269,609.22

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Solution

The fourth proportional to 290,980.98, 434,338.74 and 269,609.22 is: 402,437.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,980.98 : 434,338.74 = 269,609.22 : x
  2. Step 2: Convert to fraction form
    290,980.98/434,338.74 = 269,609.22/x
  3. Step 3: Cross multiply
    290,980.98x = 434,338.74 × 269,609.22
  4. Step 4: Simplify right side
    290,980.98x = 117,101,728,907.18
  5. Step 5: Solve for x
    x = 117,101,728,907.18/290,980.98
  6. Step 6: Final answer
    x = 402,437.74

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.