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Finding the Fourth Proportional to 709,126.98, 978,598.44 and 386,836.08

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Solution

The fourth proportional to 709,126.98, 978,598.44 and 386,836.08 is: 533,835.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    709,126.98 : 978,598.44 = 386,836.08 : x
  2. Step 2: Convert to fraction form
    709,126.98/978,598.44 = 386,836.08/x
  3. Step 3: Cross multiply
    709,126.98x = 978,598.44 × 386,836.08
  4. Step 4: Simplify right side
    709,126.98x = 378,557,184,423.72
  5. Step 5: Solve for x
    x = 378,557,184,423.72/709,126.98
  6. Step 6: Final answer
    x = 533,835.54

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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.