Finding the Fourth Proportional to 249,284,928,362.96, 344,182,072,225.84 and 157,914,562,242.80
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Solution
The fourth proportional to 249,284,928,362.96, 344,182,072,225.84 and 157,914,562,242.80 is: 218,029,070,687.45
Step by Step Solution
- Step 1: Write the proportion equation
249,284,928,362.96 : 344,182,072,225.84 = 157,914,562,242.80 : x - Step 2: Convert to fraction form
249,284,928,362.96/344,182,072,225.84 = 157,914,562,242.80/x - Step 3: Cross multiply
249,284,928,362.96x = 344,182,072,225.84 × 157,914,562,242.80 - Step 4: Simplify right side
249,284,928,362.96x = 54,351,361,267,363,295,002,624 - Step 5: Solve for x
x = 54,351,361,267,363,295,002,624/249,284,928,362.96 - Step 6: Final answer
x = 218,029,070,687.45
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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.