Finding the Fourth Proportional to 1,410,742,470.40, 2,116,120,467.84 and 428,177,547.52
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Solution
The fourth proportional to 1,410,742,470.40, 2,116,120,467.84 and 428,177,547.52 is: 642,268,373.70
Step by Step Solution
- Step 1: Write the proportion equation
1,410,742,470.40 : 2,116,120,467.84 = 428,177,547.52 : x - Step 2: Convert to fraction form
1,410,742,470.40/2,116,120,467.84 = 428,177,547.52/x - Step 3: Cross multiply
1,410,742,470.40x = 2,116,120,467.84 × 428,177,547.52 - Step 4: Simplify right side
1,410,742,470.40x = 906,075,272,176,606,208 - Step 5: Solve for x
x = 906,075,272,176,606,208/1,410,742,470.40 - Step 6: Final answer
x = 642,268,373.70
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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.