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Finding the Fourth Proportional to 713,563, 1,070,501.90 and 208,163.50

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Solution

The fourth proportional to 713,563, 1,070,501.90 and 208,163.50 is: 312,291.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    713,563 : 1,070,501.90 = 208,163.50 : x
  2. Step 2: Convert to fraction form
    713,563/1,070,501.90 = 208,163.50/x
  3. Step 3: Cross multiply
    713,563x = 1,070,501.90 × 208,163.50
  4. Step 4: Simplify right side
    713,563x = 222,839,422,260.65
  5. Step 5: Solve for x
    x = 222,839,422,260.65/713,563
  6. Step 6: Final answer
    x = 312,291.17

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.