Finding the Fourth Proportional to 742,308.10, 1,024,397.09 and 402,776.35
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Solution
The fourth proportional to 742,308.10, 1,024,397.09 and 402,776.35 is: 555,837.83
Step by Step Solution
- Step 1: Write the proportion equation
742,308.10 : 1,024,397.09 = 402,776.35 : x - Step 2: Convert to fraction form
742,308.10/1,024,397.09 = 402,776.35/x - Step 3: Cross multiply
742,308.10x = 1,024,397.09 × 402,776.35 - Step 4: Simplify right side
742,308.10x = 412,602,920,860.82 - Step 5: Solve for x
x = 412,602,920,860.82/742,308.10 - Step 6: Final answer
x = 555,837.83
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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.