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Finding the Fourth Proportional to 706,922.28, 975,235.68 and 477,405

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Solution

The fourth proportional to 706,922.28, 975,235.68 and 477,405 is: 658,604.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    706,922.28 : 975,235.68 = 477,405 : x
  2. Step 2: Convert to fraction form
    706,922.28/975,235.68 = 477,405/x
  3. Step 3: Cross multiply
    706,922.28x = 975,235.68 × 477,405
  4. Step 4: Simplify right side
    706,922.28x = 465,582,389,810.40
  5. Step 5: Solve for x
    x = 465,582,389,810.40/706,922.28
  6. Step 6: Final answer
    x = 658,604.78

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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.