Finding the Fourth Proportional to 420,684,992.42, 580,575,330.99 and 232,509,242.43
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Solution
The fourth proportional to 420,684,992.42, 580,575,330.99 and 232,509,242.43 is: 320,879,358.23
Step by Step Solution
- Step 1: Write the proportion equation
420,684,992.42 : 580,575,330.99 = 232,509,242.43 : x - Step 2: Convert to fraction form
420,684,992.42/580,575,330.99 = 232,509,242.43/x - Step 3: Cross multiply
420,684,992.42x = 580,575,330.99 × 232,509,242.43 - Step 4: Simplify right side
420,684,992.42x = 134,989,130,382,031,408 - Step 5: Solve for x
x = 134,989,130,382,031,408/420,684,992.42 - Step 6: Final answer
x = 320,879,358.23
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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.