Finding the Fourth Proportional to 748,531.83, 1,032,973.76 and 409,000.08
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Solution
The fourth proportional to 748,531.83, 1,032,973.76 and 409,000.08 is: 564,420.02
Step by Step Solution
- Step 1: Write the proportion equation
748,531.83 : 1,032,973.76 = 409,000.08 : x - Step 2: Convert to fraction form
748,531.83/1,032,973.76 = 409,000.08/x - Step 3: Cross multiply
748,531.83x = 1,032,973.76 × 409,000.08 - Step 4: Simplify right side
748,531.83x = 422,486,355,374.05 - Step 5: Solve for x
x = 422,486,355,374.05/748,531.83 - Step 6: Final answer
x = 564,420.02
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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.