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Finding the Fourth Proportional to 709,639.26, 979,155.99 and 407,774.94

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Solution

The fourth proportional to 709,639.26, 979,155.99 and 407,774.94 is: 562,645.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    709,639.26 : 979,155.99 = 407,774.94 : x
  2. Step 2: Convert to fraction form
    709,639.26/979,155.99 = 407,774.94/x
  3. Step 3: Cross multiply
    709,639.26x = 979,155.99 × 407,774.94
  4. Step 4: Simplify right side
    709,639.26x = 399,275,275,072.89
  5. Step 5: Solve for x
    x = 399,275,275,072.89/709,639.26
  6. Step 6: Final answer
    x = 562,645.41

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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.