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Finding the Fourth Proportional to 497,685.60, 746,528.40 and 409,039.20

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Solution

The fourth proportional to 497,685.60, 746,528.40 and 409,039.20 is: 613,558.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    497,685.60 : 746,528.40 = 409,039.20 : x
  2. Step 2: Convert to fraction form
    497,685.60/746,528.40 = 409,039.20/x
  3. Step 3: Cross multiply
    497,685.60x = 746,528.40 × 409,039.20
  4. Step 4: Simplify right side
    497,685.60x = 305,359,379,513.28
  5. Step 5: Solve for x
    x = 305,359,379,513.28/497,685.60
  6. Step 6: Final answer
    x = 613,558.80

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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.