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Finding the Fourth Proportional to 709,024.78, 978,457.24 and 386,741.80

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Solution

The fourth proportional to 709,024.78, 978,457.24 and 386,741.80 is: 533,705.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    709,024.78 : 978,457.24 = 386,741.80 : x
  2. Step 2: Convert to fraction form
    709,024.78/978,457.24 = 386,741.80/x
  3. Step 3: Cross multiply
    709,024.78x = 978,457.24 × 386,741.80
  4. Step 4: Simplify right side
    709,024.78x = 378,410,314,220.63
  5. Step 5: Solve for x
    x = 378,410,314,220.63/709,024.78
  6. Step 6: Final answer
    x = 533,705.34

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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.