Finding the Fourth Proportional to 776,649,776.30, 1,071,769,447.95 and 424,225,632.14
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Solution
The fourth proportional to 776,649,776.30, 1,071,769,447.95 and 424,225,632.14 is: 585,427,415.86
Step by Step Solution
- Step 1: Write the proportion equation
776,649,776.30 : 1,071,769,447.95 = 424,225,632.14 : x - Step 2: Convert to fraction form
776,649,776.30/1,071,769,447.95 = 424,225,632.14/x - Step 3: Cross multiply
776,649,776.30x = 1,071,769,447.95 × 424,225,632.14 - Step 4: Simplify right side
776,649,776.30x = 454,672,071,564,927,552 - Step 5: Solve for x
x = 454,672,071,564,927,552/776,649,776.30 - Step 6: Final answer
x = 585,427,415.86
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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.