Finding the Fourth Proportional to 284,569,210,920.24, 392,703,186,748.68 and 154,357,739,560.20
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Solution
The fourth proportional to 284,569,210,920.24, 392,703,186,748.68 and 154,357,739,560.20 is: 213,012,419,820.79
Step by Step Solution
- Step 1: Write the proportion equation
284,569,210,920.24 : 392,703,186,748.68 = 154,357,739,560.20 : x - Step 2: Convert to fraction form
284,569,210,920.24/392,703,186,748.68 = 154,357,739,560.20/x - Step 3: Cross multiply
284,569,210,920.24x = 392,703,186,748.68 × 154,357,739,560.20 - Step 4: Simplify right side
284,569,210,920.24x = 60,616,776,224,613,337,137,152 - Step 5: Solve for x
x = 60,616,776,224,613,337,137,152/284,569,210,920.24 - Step 6: Final answer
x = 213,012,419,820.79
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1.5x scale
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.