Finding the Fourth Proportional to 430,214.40, 643,973.52 and 278,209.68
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Solution
The fourth proportional to 430,214.40, 643,973.52 and 278,209.68 is: 416,442.75
Step by Step Solution
- Step 1: Write the proportion equation
430,214.40 : 643,973.52 = 278,209.68 : x - Step 2: Convert to fraction form
430,214.40/643,973.52 = 278,209.68/x - Step 3: Cross multiply
430,214.40x = 643,973.52 × 278,209.68 - Step 4: Simplify right side
430,214.40x = 179,159,666,927.67 - Step 5: Solve for x
x = 179,159,666,927.67/430,214.40 - Step 6: Final answer
x = 416,442.75
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Why These Related Problems?
These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.