Finding the Fourth Proportional to 830,197,212.76, 1,145,685,764.86 and 495,698,965.60
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Solution
The fourth proportional to 830,197,212.76, 1,145,685,764.86 and 495,698,965.60 is: 684,072,699.61
Step by Step Solution
- Step 1: Write the proportion equation
830,197,212.76 : 1,145,685,764.86 = 495,698,965.60 : x - Step 2: Convert to fraction form
830,197,212.76/1,145,685,764.86 = 495,698,965.60/x - Step 3: Cross multiply
830,197,212.76x = 1,145,685,764.86 × 495,698,965.60 - Step 4: Simplify right side
830,197,212.76x = 567,915,248,543,746,816 - Step 5: Solve for x
x = 567,915,248,543,746,816/830,197,212.76 - Step 6: Final answer
x = 684,072,699.61
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1.5x scale
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.