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Finding the Fourth Proportional to 538,921,866.40, 808,382,799.60 and 504,909,642.40

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Solution

The fourth proportional to 538,921,866.40, 808,382,799.60 and 504,909,642.40 is: 757,364,463.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    538,921,866.40 : 808,382,799.60 = 504,909,642.40 : x
  2. Step 2: Convert to fraction form
    538,921,866.40/808,382,799.60 = 504,909,642.40/x
  3. Step 3: Cross multiply
    538,921,866.40x = 808,382,799.60 × 504,909,642.40
  4. Step 4: Simplify right side
    538,921,866.40x = 408,160,270,268,346,880
  5. Step 5: Solve for x
    x = 408,160,270,268,346,880/538,921,866.40
  6. Step 6: Final answer
    x = 757,364,463.60

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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.