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Finding the Fourth Proportional to 709,029.88, 978,461.24 and 386,739.96

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Solution

The fourth proportional to 709,029.88, 978,461.24 and 386,739.96 is: 533,701.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    709,029.88 : 978,461.24 = 386,739.96 : x
  2. Step 2: Convert to fraction form
    709,029.88/978,461.24 = 386,739.96/x
  3. Step 3: Cross multiply
    709,029.88x = 978,461.24 × 386,739.96
  4. Step 4: Simplify right side
    709,029.88x = 378,410,060,819.15
  5. Step 5: Solve for x
    x = 378,410,060,819.15/709,029.88
  6. Step 6: Final answer
    x = 533,701.15

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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.