Finding the Fourth Proportional to 780,194,702.21, 1,170,112,970.07 and 465,149,875.41
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Solution
The fourth proportional to 780,194,702.21, 1,170,112,970.07 and 465,149,875.41 is: 697,618,044.20
Step by Step Solution
- Step 1: Write the proportion equation
780,194,702.21 : 1,170,112,970.07 = 465,149,875.41 : x - Step 2: Convert to fraction form
780,194,702.21/1,170,112,970.07 = 465,149,875.41/x - Step 3: Cross multiply
780,194,702.21x = 1,170,112,970.07 × 465,149,875.41 - Step 4: Simplify right side
780,194,702.21x = 544,277,902,243,685,568 - Step 5: Solve for x
x = 544,277,902,243,685,568/780,194,702.21 - Step 6: Final answer
x = 697,618,044.20
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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.