Finding the Fourth Proportional to 257,017,407,204.70, 354,679,250,394.20 and 141,271,692,454.19
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Solution
The fourth proportional to 257,017,407,204.70, 354,679,250,394.20 and 141,271,692,454.19 is: 194,952,312,866.75
Step by Step Solution
- Step 1: Write the proportion equation
257,017,407,204.70 : 354,679,250,394.20 = 141,271,692,454.19 : x - Step 2: Convert to fraction form
257,017,407,204.70/354,679,250,394.20 = 141,271,692,454.19/x - Step 3: Cross multiply
257,017,407,204.70x = 354,679,250,394.20 × 141,271,692,454.19 - Step 4: Simplify right side
257,017,407,204.70x = 50,106,137,981,572,071,030,784 - Step 5: Solve for x
x = 50,106,137,981,572,071,030,784/257,017,407,204.70 - Step 6: Final answer
x = 194,952,312,866.75
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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.