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Finding the Fourth Proportional to 709,082.10, 978,751.62 and 437,235.30

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Solution

The fourth proportional to 709,082.10, 978,751.62 and 437,235.30 is: 603,519.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    709,082.10 : 978,751.62 = 437,235.30 : x
  2. Step 2: Convert to fraction form
    709,082.10/978,751.62 = 437,235.30/x
  3. Step 3: Cross multiply
    709,082.10x = 978,751.62 × 437,235.30
  4. Step 4: Simplify right side
    709,082.10x = 427,944,758,196.19
  5. Step 5: Solve for x
    x = 427,944,758,196.19/709,082.10
  6. Step 6: Final answer
    x = 603,519.34

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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.