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Finding the Fourth Proportional to 290,419.70, 435,629.55 and 282,643.70

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Solution

The fourth proportional to 290,419.70, 435,629.55 and 282,643.70 is: 423,965.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,419.70 : 435,629.55 = 282,643.70 : x
  2. Step 2: Convert to fraction form
    290,419.70/435,629.55 = 282,643.70/x
  3. Step 3: Cross multiply
    290,419.70x = 435,629.55 × 282,643.70
  4. Step 4: Simplify right side
    290,419.70x = 123,127,947,841.34
  5. Step 5: Solve for x
    x = 123,127,947,841.34/290,419.70
  6. Step 6: Final answer
    x = 423,965.55

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.