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Finding the Fourth Proportional to 709,228.88, 978,714.60 and 386,945.36

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Solution

The fourth proportional to 709,228.88, 978,714.60 and 386,945.36 is: 533,973.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    709,228.88 : 978,714.60 = 386,945.36 : x
  2. Step 2: Convert to fraction form
    709,228.88/978,714.60 = 386,945.36/x
  3. Step 3: Cross multiply
    709,228.88x = 978,714.60 × 386,945.36
  4. Step 4: Simplify right side
    709,228.88x = 378,709,073,234.26
  5. Step 5: Solve for x
    x = 378,709,073,234.26/709,228.88
  6. Step 6: Final answer
    x = 533,973.00

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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.