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Finding the Fourth Proportional to 704,570.82, 972,295.47 and 428,829

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Solution

The fourth proportional to 704,570.82, 972,295.47 and 428,829 is: 591,776.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    704,570.82 : 972,295.47 = 428,829 : x
  2. Step 2: Convert to fraction form
    704,570.82/972,295.47 = 428,829/x
  3. Step 3: Cross multiply
    704,570.82x = 972,295.47 × 428,829
  4. Step 4: Simplify right side
    704,570.82x = 416,948,494,104.63
  5. Step 5: Solve for x
    x = 416,948,494,104.63/704,570.82
  6. Step 6: Final answer
    x = 591,776.56

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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.