Finding the Fourth Proportional to 783,023.74, 1,174,491.24 and 214,363.24
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Solution
The fourth proportional to 783,023.74, 1,174,491.24 and 214,363.24 is: 321,532.71
Step by Step Solution
- Step 1: Write the proportion equation
783,023.74 : 1,174,491.24 = 214,363.24 : x - Step 2: Convert to fraction form
783,023.74/1,174,491.24 = 214,363.24/x - Step 3: Cross multiply
783,023.74x = 1,174,491.24 × 214,363.24 - Step 4: Simplify right side
783,023.74x = 251,767,747,558.02 - Step 5: Solve for x
x = 251,767,747,558.02/783,023.74 - Step 6: Final answer
x = 321,532.71
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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.