Finding the Fourth Proportional to 645,142,362.18, 967,719,143.67 and 208,443,092.99
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Solution
The fourth proportional to 645,142,362.18, 967,719,143.67 and 208,443,092.99 is: 312,666,448.95
Step by Step Solution
- Step 1: Write the proportion equation
645,142,362.18 : 967,719,143.67 = 208,443,092.99 : x - Step 2: Convert to fraction form
645,142,362.18/967,719,143.67 = 208,443,092.99/x - Step 3: Cross multiply
645,142,362.18x = 967,719,143.67 × 208,443,092.99 - Step 4: Simplify right side
645,142,362.18x = 201,714,371,447,370,400 - Step 5: Solve for x
x = 201,714,371,447,370,400/645,142,362.18 - Step 6: Final answer
x = 312,666,448.95
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Why These Related Problems?
These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.