Finding the Fourth Proportional to 1,298,472,642.48, 1,943,111,282.76 and 807,417,153.84
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Solution
The fourth proportional to 1,298,472,642.48, 1,943,111,282.76 and 807,417,153.84 is: 1,208,266,797.62
Step by Step Solution
- Step 1: Write the proportion equation
1,298,472,642.48 : 1,943,111,282.76 = 807,417,153.84 : x - Step 2: Convert to fraction form
1,298,472,642.48/1,943,111,282.76 = 807,417,153.84/x - Step 3: Cross multiply
1,298,472,642.48x = 1,943,111,282.76 × 807,417,153.84 - Step 4: Simplify right side
1,298,472,642.48x = 1,568,901,381,520,470,784 - Step 5: Solve for x
x = 1,568,901,381,520,470,784/1,298,472,642.48 - Step 6: Final answer
x = 1,208,266,797.62
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Why These Related Problems?
These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.