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Finding the Fourth Proportional to 538,136, 807,205 and 505,253.08

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Solution

The fourth proportional to 538,136, 807,205 and 505,253.08 is: 757,880.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    538,136 : 807,205 = 505,253.08 : x
  2. Step 2: Convert to fraction form
    538,136/807,205 = 505,253.08/x
  3. Step 3: Cross multiply
    538,136x = 807,205 × 505,253.08
  4. Step 4: Simplify right side
    538,136x = 407,842,812,441.40
  5. Step 5: Solve for x
    x = 407,842,812,441.40/538,136
  6. Step 6: Final answer
    x = 757,880.56

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