Finding the Fourth Proportional to 298,173,898.26, 410,567,389.07 and 297,312,963.84
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Solution
The fourth proportional to 298,173,898.26, 410,567,389.07 and 297,312,963.84 is: 409,381,934.54
Step by Step Solution
- Step 1: Write the proportion equation
298,173,898.26 : 410,567,389.07 = 297,312,963.84 : x - Step 2: Convert to fraction form
298,173,898.26/410,567,389.07 = 297,312,963.84/x - Step 3: Cross multiply
298,173,898.26x = 410,567,389.07 × 297,312,963.84 - Step 4: Simplify right side
298,173,898.26x = 122,067,007,298,965,552 - Step 5: Solve for x
x = 122,067,007,298,965,552/298,173,898.26 - Step 6: Final answer
x = 409,381,934.54
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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.