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Finding the Fourth Proportional to 290,475.20, 435,021.60 and 290,475.20

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Solution

The fourth proportional to 290,475.20, 435,021.60 and 290,475.20 is: 435,021.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,475.20 : 435,021.60 = 290,475.20 : x
  2. Step 2: Convert to fraction form
    290,475.20/435,021.60 = 290,475.20/x
  3. Step 3: Cross multiply
    290,475.20x = 435,021.60 × 290,475.20
  4. Step 4: Simplify right side
    290,475.20x = 126,362,986,264.32
  5. Step 5: Solve for x
    x = 126,362,986,264.32/290,475.20
  6. Step 6: Final answer
    x = 435,021.60

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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.