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Finding the Fourth Proportional to 497,712.60, 746,568.90 and 308,323.80

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Solution

The fourth proportional to 497,712.60, 746,568.90 and 308,323.80 is: 462,485.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    497,712.60 : 746,568.90 = 308,323.80 : x
  2. Step 2: Convert to fraction form
    497,712.60/746,568.90 = 308,323.80/x
  3. Step 3: Cross multiply
    497,712.60x = 746,568.90 × 308,323.80
  4. Step 4: Simplify right side
    497,712.60x = 230,184,960,209.82
  5. Step 5: Solve for x
    x = 230,184,960,209.82/497,712.60
  6. Step 6: Final answer
    x = 462,485.70

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.