Finding the Fourth Proportional to 400,456,290,097.07, 552,677,056,645.73 and 237,876,578,336.70
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Solution
The fourth proportional to 400,456,290,097.07, 552,677,056,645.73 and 237,876,578,336.70 is: 328,297,820,289.49
Step by Step Solution
- Step 1: Write the proportion equation
400,456,290,097.07 : 552,677,056,645.73 = 237,876,578,336.70 : x - Step 2: Convert to fraction form
400,456,290,097.07/552,677,056,645.73 = 237,876,578,336.70/x - Step 3: Cross multiply
400,456,290,097.07x = 552,677,056,645.73 × 237,876,578,336.70 - Step 4: Simplify right side
400,456,290,097.07x = 131,468,927,160,084,781,334,528 - Step 5: Solve for x
x = 131,468,927,160,084,781,334,528/400,456,290,097.07 - Step 6: Final answer
x = 328,297,820,289.49
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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.