Finding the Fourth Proportional to 409,227,382.14, 564,727,113.99 and 223,584,402.30
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Solution
The fourth proportional to 409,227,382.14, 564,727,113.99 and 223,584,402.30 is: 308,542,829.13
Step by Step Solution
- Step 1: Write the proportion equation
409,227,382.14 : 564,727,113.99 = 223,584,402.30 : x - Step 2: Convert to fraction form
409,227,382.14/564,727,113.99 = 223,584,402.30/x - Step 3: Cross multiply
409,227,382.14x = 564,727,113.99 × 223,584,402.30 - Step 4: Simplify right side
409,227,382.14x = 126,264,174,244,058,128 - Step 5: Solve for x
x = 126,264,174,244,058,128/409,227,382.14 - Step 6: Final answer
x = 308,542,829.13
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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.