Finding the Fourth Proportional to 1,490,751,208.70, 2,236,126,813.05 and 509,285,969.90
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Solution
The fourth proportional to 1,490,751,208.70, 2,236,126,813.05 and 509,285,969.90 is: 763,928,954.85
Step by Step Solution
- Step 1: Write the proportion equation
1,490,751,208.70 : 2,236,126,813.05 = 509,285,969.90 : x - Step 2: Convert to fraction form
1,490,751,208.70/2,236,126,813.05 = 509,285,969.90/x - Step 3: Cross multiply
1,490,751,208.70x = 2,236,126,813.05 × 509,285,969.90 - Step 4: Simplify right side
1,490,751,208.70x = 1,138,828,012,803,565,312 - Step 5: Solve for x
x = 1,138,828,012,803,565,312/1,490,751,208.70 - Step 6: Final answer
x = 763,928,954.85
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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.