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Finding the Fourth Proportional to 497,572.62, 685,954.54 and 420,782.95

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Solution

The fourth proportional to 497,572.62, 685,954.54 and 420,782.95 is: 580,092.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    497,572.62 : 685,954.54 = 420,782.95 : x
  2. Step 2: Convert to fraction form
    497,572.62/685,954.54 = 420,782.95/x
  3. Step 3: Cross multiply
    497,572.62x = 685,954.54 × 420,782.95
  4. Step 4: Simplify right side
    497,572.62x = 288,637,974,907.09
  5. Step 5: Solve for x
    x = 288,637,974,907.09/497,572.62
  6. Step 6: Final answer
    x = 580,092.16

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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.