Finding the Fourth Proportional to 523,403,600.96, 722,296,973.39 and 288,454,264.09
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Solution
The fourth proportional to 523,403,600.96, 722,296,973.39 and 288,454,264.09 is: 398,066,886.67
Step by Step Solution
- Step 1: Write the proportion equation
523,403,600.96 : 722,296,973.39 = 288,454,264.09 : x - Step 2: Convert to fraction form
523,403,600.96/722,296,973.39 = 288,454,264.09/x - Step 3: Cross multiply
523,403,600.96x = 722,296,973.39 × 288,454,264.09 - Step 4: Simplify right side
523,403,600.96x = 208,349,641,908,592,992 - Step 5: Solve for x
x = 208,349,641,908,592,992/523,403,600.96 - Step 6: Final answer
x = 398,066,886.67
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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.