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Finding the Fourth Proportional to 497,437.47, 685,768.61 and 420,648.49

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Solution

The fourth proportional to 497,437.47, 685,768.61 and 420,648.49 is: 579,907.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    497,437.47 : 685,768.61 = 420,648.49 : x
  2. Step 2: Convert to fraction form
    497,437.47/685,768.61 = 420,648.49/x
  3. Step 3: Cross multiply
    497,437.47x = 685,768.61 × 420,648.49
  4. Step 4: Simplify right side
    497,437.47x = 288,467,532,194.73
  5. Step 5: Solve for x
    x = 288,467,532,194.73/497,437.47
  6. Step 6: Final answer
    x = 579,907.12

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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.