Finding the Fourth Proportional to 509,315,537.08, 763,972,352.70 and 159,588,378.58
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Solution
The fourth proportional to 509,315,537.08, 763,972,352.70 and 159,588,378.58 is: 239,382,269.28
Step by Step Solution
- Step 1: Write the proportion equation
509,315,537.08 : 763,972,352.70 = 159,588,378.58 : x - Step 2: Convert to fraction form
509,315,537.08/763,972,352.70 = 159,588,378.58/x - Step 3: Cross multiply
509,315,537.08x = 763,972,352.70 × 159,588,378.58 - Step 4: Simplify right side
509,315,537.08x = 121,921,109,047,340,896 - Step 5: Solve for x
x = 121,921,109,047,340,896/509,315,537.08 - Step 6: Final answer
x = 239,382,269.28
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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.