Finding the Fourth Proportional to 361,023,079,523.72, 498,205,147,320.99 and 198,439,249,750.67
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Solution
The fourth proportional to 361,023,079,523.72, 498,205,147,320.99 and 198,439,249,750.67 is: 273,842,480,615.71
Step by Step Solution
- Step 1: Write the proportion equation
361,023,079,523.72 : 498,205,147,320.99 = 198,439,249,750.67 : x - Step 2: Convert to fraction form
361,023,079,523.72/498,205,147,320.99 = 198,439,249,750.67/x - Step 3: Cross multiply
361,023,079,523.72x = 498,205,147,320.99 × 198,439,249,750.67 - Step 4: Simplify right side
361,023,079,523.72x = 98,863,455,656,299,286,495,232 - Step 5: Solve for x
x = 98,863,455,656,299,286,495,232/361,023,079,523.72 - Step 6: Final answer
x = 273,842,480,615.71
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1.5x scale
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.