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Finding the Fourth Proportional to 709,138.10, 978,828.90 and 437,291.30

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Solution

The fourth proportional to 709,138.10, 978,828.90 and 437,291.30 is: 603,596.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    709,138.10 : 978,828.90 = 437,291.30 : x
  2. Step 2: Convert to fraction form
    709,138.10/978,828.90 = 437,291.30/x
  3. Step 3: Cross multiply
    709,138.10x = 978,828.90 × 437,291.30
  4. Step 4: Simplify right side
    709,138.10x = 428,033,362,158.57
  5. Step 5: Solve for x
    x = 428,033,362,158.57/709,138.10
  6. Step 6: Final answer
    x = 603,596.62

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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.