Finding the Fourth Proportional to 812,156,267,689.25, 1,120,802,527,956.30 and 446,363,436,686.05
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Solution
The fourth proportional to 812,156,267,689.25, 1,120,802,527,956.30 and 446,363,436,686.05 is: 615,996,315,152.99
Step by Step Solution
- Step 1: Write the proportion equation
812,156,267,689.25 : 1,120,802,527,956.30 = 446,363,436,686.05 : x - Step 2: Convert to fraction form
812,156,267,689.25/1,120,802,527,956.30 = 446,363,436,686.05/x - Step 3: Cross multiply
812,156,267,689.25x = 1,120,802,527,956.30 × 446,363,436,686.05 - Step 4: Simplify right side
812,156,267,689.25x = 500,285,268,224,986,717,356,032 - Step 5: Solve for x
x = 500,285,268,224,986,717,356,032/812,156,267,689.25 - Step 6: Final answer
x = 615,996,315,152.99
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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.