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Finding the Fourth Proportional to 709,171.50, 978,659.04 and 386,888.40

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Solution

The fourth proportional to 709,171.50, 978,659.04 and 386,888.40 is: 533,907.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    709,171.50 : 978,659.04 = 386,888.40 : x
  2. Step 2: Convert to fraction form
    709,171.50/978,659.04 = 386,888.40/x
  3. Step 3: Cross multiply
    709,171.50x = 978,659.04 × 386,888.40
  4. Step 4: Simplify right side
    709,171.50x = 378,631,830,131.14
  5. Step 5: Solve for x
    x = 378,631,830,131.14/709,171.50
  6. Step 6: Final answer
    x = 533,907.28

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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.