Finding the Fourth Proportional to 518,460,730,457.23, 715,460,275,535.48 and 286,983,737,871.54
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Solution
The fourth proportional to 518,460,730,457.23, 715,460,275,535.48 and 286,983,737,871.54 is: 396,028,960,555.41
Step by Step Solution
- Step 1: Write the proportion equation
518,460,730,457.23 : 715,460,275,535.48 = 286,983,737,871.54 : x - Step 2: Convert to fraction form
518,460,730,457.23/715,460,275,535.48 = 286,983,737,871.54/x - Step 3: Cross multiply
518,460,730,457.23x = 715,460,275,535.48 × 286,983,737,871.54 - Step 4: Simplify right side
518,460,730,457.23x = 205,325,464,171,773,964,582,912 - Step 5: Solve for x
x = 205,325,464,171,773,964,582,912/518,460,730,457.23 - Step 6: Final answer
x = 396,028,960,555.41
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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.