Finding the Fourth Proportional to 513,021,106.50, 708,044,765.85 and 324,866,573.70
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Solution
The fourth proportional to 513,021,106.50, 708,044,765.85 and 324,866,573.70 is: 448,363,769.43
Step by Step Solution
- Step 1: Write the proportion equation
513,021,106.50 : 708,044,765.85 = 324,866,573.70 : x - Step 2: Convert to fraction form
513,021,106.50/708,044,765.85 = 324,866,573.70/x - Step 3: Cross multiply
513,021,106.50x = 708,044,765.85 × 324,866,573.70 - Step 4: Simplify right side
513,021,106.50x = 230,020,077,107,908,256 - Step 5: Solve for x
x = 230,020,077,107,908,256/513,021,106.50 - Step 6: Final answer
x = 448,363,769.43
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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.