Finding the Fourth Proportional to 240,267,423,538.56, 331,844,229,668.16 and 158,234,887,557.12
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Solution
The fourth proportional to 240,267,423,538.56, 331,844,229,668.16 and 158,234,887,557.12 is: 218,545,375,792.88
Step by Step Solution
- Step 1: Write the proportion equation
240,267,423,538.56 : 331,844,229,668.16 = 158,234,887,557.12 : x - Step 2: Convert to fraction form
240,267,423,538.56/331,844,229,668.16 = 158,234,887,557.12/x - Step 3: Cross multiply
240,267,423,538.56x = 331,844,229,668.16 × 158,234,887,557.12 - Step 4: Simplify right side
240,267,423,538.56x = 52,509,334,368,020,399,652,864 - Step 5: Solve for x
x = 52,509,334,368,020,399,652,864/240,267,423,538.56 - Step 6: Final answer
x = 218,545,375,792.88
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1.5x scale
Why These Related Problems?
These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.