Finding the Fourth Proportional to 282,987,043.20, 390,529,745.28 and 159,232,106.88
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Solution
The fourth proportional to 282,987,043.20, 390,529,745.28 and 159,232,106.88 is: 219,744,598.33
Step by Step Solution
- Step 1: Write the proportion equation
282,987,043.20 : 390,529,745.28 = 159,232,106.88 : x - Step 2: Convert to fraction form
282,987,043.20/390,529,745.28 = 159,232,106.88/x - Step 3: Cross multiply
282,987,043.20x = 390,529,745.28 × 159,232,106.88 - Step 4: Simplify right side
282,987,043.20x = 62,184,874,140,244,128 - Step 5: Solve for x
x = 62,184,874,140,244,128/282,987,043.20 - Step 6: Final answer
x = 219,744,598.33
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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.