Finding the Fourth Proportional to 712,897.36, 1,069,262.82 and 286,415.95
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Solution
The fourth proportional to 712,897.36, 1,069,262.82 and 286,415.95 is: 429,590.50
Step by Step Solution
- Step 1: Write the proportion equation
712,897.36 : 1,069,262.82 = 286,415.95 : x - Step 2: Convert to fraction form
712,897.36/1,069,262.82 = 286,415.95/x - Step 3: Cross multiply
712,897.36x = 1,069,262.82 × 286,415.95 - Step 4: Simplify right side
712,897.36x = 306,253,929,063.14 - Step 5: Solve for x
x = 306,253,929,063.14/712,897.36 - Step 6: Final answer
x = 429,590.50
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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.