Finding the Fourth Proportional to 509,256,197.20, 763,884,354.98 and 159,529,518.02
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Solution
The fourth proportional to 509,256,197.20, 763,884,354.98 and 159,529,518.02 is: 239,294,295.57
Step by Step Solution
- Step 1: Write the proportion equation
509,256,197.20 : 763,884,354.98 = 159,529,518.02 : x - Step 2: Convert to fraction form
509,256,197.20/763,884,354.98 = 159,529,518.02/x - Step 3: Cross multiply
509,256,197.20x = 763,884,354.98 × 159,529,518.02 - Step 4: Simplify right side
509,256,197.20x = 121,862,102,972,978,000 - Step 5: Solve for x
x = 121,862,102,972,978,000/509,256,197.20 - Step 6: Final answer
x = 239,294,295.57
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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.