Finding the Fourth Proportional to 1,026,079,199.12, 1,415,951,359.76 and 556,170,430.96
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Solution
The fourth proportional to 1,026,079,199.12, 1,415,951,359.76 and 556,170,430.96 is: 767,494,632.63
Step by Step Solution
- Step 1: Write the proportion equation
1,026,079,199.12 : 1,415,951,359.76 = 556,170,430.96 : x - Step 2: Convert to fraction form
1,026,079,199.12/1,415,951,359.76 = 556,170,430.96/x - Step 3: Cross multiply
1,026,079,199.12x = 1,415,951,359.76 × 556,170,430.96 - Step 4: Simplify right side
1,026,079,199.12x = 787,510,277,976,117,248 - Step 5: Solve for x
x = 787,510,277,976,117,248/1,026,079,199.12 - Step 6: Final answer
x = 767,494,632.63
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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.