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Finding the Fourth Proportional to 709,024.03, 978,456.21 and 386,741.05

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Solution

The fourth proportional to 709,024.03, 978,456.21 and 386,741.05 is: 533,704.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    709,024.03 : 978,456.21 = 386,741.05 : x
  2. Step 2: Convert to fraction form
    709,024.03/978,456.21 = 386,741.05/x
  3. Step 3: Cross multiply
    709,024.03x = 978,456.21 × 386,741.05
  4. Step 4: Simplify right side
    709,024.03x = 378,409,182,034.42
  5. Step 5: Solve for x
    x = 378,409,182,034.42/709,024.03
  6. Step 6: Final answer
    x = 533,704.31

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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.