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Finding the Fourth Proportional to 709,078.98, 978,535.25 and 386,790.51

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Solution

The fourth proportional to 709,078.98, 978,535.25 and 386,790.51 is: 533,774.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    709,078.98 : 978,535.25 = 386,790.51 : x
  2. Step 2: Convert to fraction form
    709,078.98/978,535.25 = 386,790.51/x
  3. Step 3: Cross multiply
    709,078.98x = 978,535.25 × 386,790.51
  4. Step 4: Simplify right side
    709,078.98x = 378,488,146,466.53
  5. Step 5: Solve for x
    x = 378,488,146,466.53/709,078.98
  6. Step 6: Final answer
    x = 533,774.31

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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.