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Finding the Fourth Proportional to 708,919.83, 978,333.12 and 386,647.56

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Solution

The fourth proportional to 708,919.83, 978,333.12 and 386,647.56 is: 533,586.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    708,919.83 : 978,333.12 = 386,647.56 : x
  2. Step 2: Convert to fraction form
    708,919.83/978,333.12 = 386,647.56/x
  3. Step 3: Cross multiply
    708,919.83x = 978,333.12 × 386,647.56
  4. Step 4: Simplify right side
    708,919.83x = 378,270,113,715.19
  5. Step 5: Solve for x
    x = 378,270,113,715.19/708,919.83
  6. Step 6: Final answer
    x = 533,586.59

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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.