Finding the Fourth Proportional to 509,462,575.24, 703,049,097.12 and 283,400,455.28
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Solution
The fourth proportional to 509,462,575.24, 703,049,097.12 and 283,400,455.28 is: 391,087,479.02
Step by Step Solution
- Step 1: Write the proportion equation
509,462,575.24 : 703,049,097.12 = 283,400,455.28 : x - Step 2: Convert to fraction form
509,462,575.24/703,049,097.12 = 283,400,455.28/x - Step 3: Cross multiply
509,462,575.24x = 703,049,097.12 × 283,400,455.28 - Step 4: Simplify right side
509,462,575.24x = 199,244,434,208,000,928 - Step 5: Solve for x
x = 199,244,434,208,000,928/509,462,575.24 - Step 6: Final answer
x = 391,087,479.02
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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.