Finding the Fourth Proportional to 929,472,306.23, 1,282,694,783.97 and 506,109,176.93
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Solution
The fourth proportional to 929,472,306.23, 1,282,694,783.97 and 506,109,176.93 is: 698,443,188.70
Step by Step Solution
- Step 1: Write the proportion equation
929,472,306.23 : 1,282,694,783.97 = 506,109,176.93 : x - Step 2: Convert to fraction form
929,472,306.23/1,282,694,783.97 = 506,109,176.93/x - Step 3: Cross multiply
929,472,306.23x = 1,282,694,783.97 × 506,109,176.93 - Step 4: Simplify right side
929,472,306.23x = 649,183,601,367,460,864 - Step 5: Solve for x
x = 649,183,601,367,460,864/929,472,306.23 - Step 6: Final answer
x = 698,443,188.70
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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.