Finding the Fourth Proportional to 282,855,468.63, 390,337,726.50 and 157,405,515.78
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Solution
The fourth proportional to 282,855,468.63, 390,337,726.50 and 157,405,515.78 is: 217,218,042.37
Step by Step Solution
- Step 1: Write the proportion equation
282,855,468.63 : 390,337,726.50 = 157,405,515.78 : x - Step 2: Convert to fraction form
282,855,468.63/390,337,726.50 = 157,405,515.78/x - Step 3: Cross multiply
282,855,468.63x = 390,337,726.50 × 157,405,515.78 - Step 4: Simplify right side
282,855,468.63x = 61,441,311,168,125,072 - Step 5: Solve for x
x = 61,441,311,168,125,072/282,855,468.63 - Step 6: Final answer
x = 217,218,042.37
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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.