Finding the Fourth Proportional to 742,203,402.12, 1,024,212,634.80 and 412,199,798.76
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Solution
The fourth proportional to 742,203,402.12, 1,024,212,634.80 and 412,199,798.76 is: 568,820,138.45
Step by Step Solution
- Step 1: Write the proportion equation
742,203,402.12 : 1,024,212,634.80 = 412,199,798.76 : x - Step 2: Convert to fraction form
742,203,402.12/1,024,212,634.80 = 412,199,798.76/x - Step 3: Cross multiply
742,203,402.12x = 1,024,212,634.80 × 412,199,798.76 - Step 4: Simplify right side
742,203,402.12x = 422,180,241,952,009,344 - Step 5: Solve for x
x = 422,180,241,952,009,344/742,203,402.12 - Step 6: Final answer
x = 568,820,138.45
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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.