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Finding the Fourth Proportional to 709,075.36, 978,530.24 and 386,786.89

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Solution

The fourth proportional to 709,075.36, 978,530.24 and 386,786.89 is: 533,769.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    709,075.36 : 978,530.24 = 386,786.89 : x
  2. Step 2: Convert to fraction form
    709,075.36/978,530.24 = 386,786.89/x
  3. Step 3: Cross multiply
    709,075.36x = 978,530.24 × 386,786.89
  4. Step 4: Simplify right side
    709,075.36x = 378,482,661,473.97
  5. Step 5: Solve for x
    x = 378,482,661,473.97/709,075.36
  6. Step 6: Final answer
    x = 533,769.31

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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.