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Finding the Fourth Proportional to 538,991,812.80, 806,976,064.80 and 523,875,268.80

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Solution

The fourth proportional to 538,991,812.80, 806,976,064.80 and 523,875,268.80 is: 784,343,644.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    538,991,812.80 : 806,976,064.80 = 523,875,268.80 : x
  2. Step 2: Convert to fraction form
    538,991,812.80/806,976,064.80 = 523,875,268.80/x
  3. Step 3: Cross multiply
    538,991,812.80x = 806,976,064.80 × 523,875,268.80
  4. Step 4: Simplify right side
    538,991,812.80x = 422,754,802,862,266,176
  5. Step 5: Solve for x
    x = 422,754,802,862,266,176/538,991,812.80
  6. Step 6: Final answer
    x = 784,343,644.60

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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.