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Finding the Fourth Proportional to 709,090.48, 978,551.10 and 386,802.04

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Solution

The fourth proportional to 709,090.48, 978,551.10 and 386,802.04 is: 533,790.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    709,090.48 : 978,551.10 = 386,802.04 : x
  2. Step 2: Convert to fraction form
    709,090.48/978,551.10 = 386,802.04/x
  3. Step 3: Cross multiply
    709,090.48x = 978,551.10 × 386,802.04
  4. Step 4: Simplify right side
    709,090.48x = 378,505,561,724.24
  5. Step 5: Solve for x
    x = 378,505,561,724.24/709,090.48
  6. Step 6: Final answer
    x = 533,790.22

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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.