Finding the Fourth Proportional to 940,142,916.54, 1,296,029,858.36 and 657,006,307.65
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Solution
The fourth proportional to 940,142,916.54, 1,296,029,858.36 and 657,006,307.65 is: 905,713,138.78
Step by Step Solution
- Step 1: Write the proportion equation
940,142,916.54 : 1,296,029,858.36 = 657,006,307.65 : x - Step 2: Convert to fraction form
940,142,916.54/1,296,029,858.36 = 657,006,307.65/x - Step 3: Cross multiply
940,142,916.54x = 1,296,029,858.36 × 657,006,307.65 - Step 4: Simplify right side
940,142,916.54x = 851,499,791,841,971,072 - Step 5: Solve for x
x = 851,499,791,841,971,072/940,142,916.54 - Step 6: Final answer
x = 905,713,138.78
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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.