Finding the Fourth Proportional to 513,852,418.08, 709,114,566.42 and 278,903,066.40
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Solution
The fourth proportional to 513,852,418.08, 709,114,566.42 and 278,903,066.40 is: 384,885,270.64
Step by Step Solution
- Step 1: Write the proportion equation
513,852,418.08 : 709,114,566.42 = 278,903,066.40 : x - Step 2: Convert to fraction form
513,852,418.08/709,114,566.42 = 278,903,066.40/x - Step 3: Cross multiply
513,852,418.08x = 709,114,566.42 × 278,903,066.40 - Step 4: Simplify right side
513,852,418.08x = 197,774,227,003,444,448 - Step 5: Solve for x
x = 197,774,227,003,444,448/513,852,418.08 - Step 6: Final answer
x = 384,885,270.64
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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.