Finding the Fourth Proportional to 257,457,461,638.05, 386,186,192,457.08 and 78,382,026,110.03
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Solution
The fourth proportional to 257,457,461,638.05, 386,186,192,457.08 and 78,382,026,110.03 is: 117,573,039,165.04
Step by Step Solution
- Step 1: Write the proportion equation
257,457,461,638.05 : 386,186,192,457.08 = 78,382,026,110.03 : x - Step 2: Convert to fraction form
257,457,461,638.05/386,186,192,457.08 = 78,382,026,110.03/x - Step 3: Cross multiply
257,457,461,638.05x = 386,186,192,457.08 × 78,382,026,110.03 - Step 4: Simplify right side
257,457,461,638.05x = 30,270,056,220,501,982,838,784 - Step 5: Solve for x
x = 30,270,056,220,501,982,838,784/257,457,461,638.05 - Step 6: Final answer
x = 117,573,039,165.04
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1.5x scale
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.