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Finding the Fourth Proportional to 290,438.10, 435,657.15 and 243,782.10

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Solution

The fourth proportional to 290,438.10, 435,657.15 and 243,782.10 is: 365,673.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,438.10 : 435,657.15 = 243,782.10 : x
  2. Step 2: Convert to fraction form
    290,438.10/435,657.15 = 243,782.10/x
  3. Step 3: Cross multiply
    290,438.10x = 435,657.15 × 243,782.10
  4. Step 4: Simplify right side
    290,438.10x = 106,205,414,907.02
  5. Step 5: Solve for x
    x = 106,205,414,907.02/290,438.10
  6. Step 6: Final answer
    x = 365,673.15

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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.