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Finding the Fourth Proportional to 716,708.96, 989,058.48 and 394,442

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Solution

The fourth proportional to 716,708.96, 989,058.48 and 394,442 is: 544,330.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    716,708.96 : 989,058.48 = 394,442 : x
  2. Step 2: Convert to fraction form
    716,708.96/989,058.48 = 394,442/x
  3. Step 3: Cross multiply
    716,708.96x = 989,058.48 × 394,442
  4. Step 4: Simplify right side
    716,708.96x = 390,126,204,968.16
  5. Step 5: Solve for x
    x = 390,126,204,968.16/716,708.96
  6. Step 6: Final answer
    x = 544,330.02

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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.