Finding the Fourth Proportional to 513,242,572.07, 708,288,676.29 and 290,257,598.68
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Solution
The fourth proportional to 513,242,572.07, 708,288,676.29 and 290,257,598.68 is: 400,563,362.31
Step by Step Solution
- Step 1: Write the proportion equation
513,242,572.07 : 708,288,676.29 = 290,257,598.68 : x - Step 2: Convert to fraction form
513,242,572.07/708,288,676.29 = 290,257,598.68/x - Step 3: Cross multiply
513,242,572.07x = 708,288,676.29 × 290,257,598.68 - Step 4: Simplify right side
513,242,572.07x = 205,586,170,350,400,512 - Step 5: Solve for x
x = 205,586,170,350,400,512/513,242,572.07 - Step 6: Final answer
x = 400,563,362.31
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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.