Finding the Fourth Proportional to 742,722,259.21, 1,024,979,789.48 and 408,188,711.81
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Solution
The fourth proportional to 742,722,259.21, 1,024,979,789.48 and 408,188,711.81 is: 563,313,102.19
Step by Step Solution
- Step 1: Write the proportion equation
742,722,259.21 : 1,024,979,789.48 = 408,188,711.81 : x - Step 2: Convert to fraction form
742,722,259.21/1,024,979,789.48 = 408,188,711.81/x - Step 3: Cross multiply
742,722,259.21x = 1,024,979,789.48 × 408,188,711.81 - Step 4: Simplify right side
742,722,259.21x = 418,385,179,899,627,200 - Step 5: Solve for x
x = 418,385,179,899,627,200/742,722,259.21 - Step 6: Final answer
x = 563,313,102.19
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Why These Related Problems?
These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.