Finding the Fourth Proportional to 834,191,590.20, 1,251,854,255.70 and 465,725,830.20
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Solution
The fourth proportional to 834,191,590.20, 1,251,854,255.70 and 465,725,830.20 is: 698,905,226.78
Step by Step Solution
- Step 1: Write the proportion equation
834,191,590.20 : 1,251,854,255.70 = 465,725,830.20 : x - Step 2: Convert to fraction form
834,191,590.20/1,251,854,255.70 = 465,725,830.20/x - Step 3: Cross multiply
834,191,590.20x = 1,251,854,255.70 × 465,725,830.20 - Step 4: Simplify right side
834,191,590.20x = 583,020,862,525,285,632 - Step 5: Solve for x
x = 583,020,862,525,285,632/834,191,590.20 - Step 6: Final answer
x = 698,905,226.78
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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.