Finding the Fourth Proportional to 905,518,225.52, 1,249,620,396.56 and 509,037,743.96
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Solution
The fourth proportional to 905,518,225.52, 1,249,620,396.56 and 509,037,743.96 is: 702,475,035.34
Step by Step Solution
- Step 1: Write the proportion equation
905,518,225.52 : 1,249,620,396.56 = 509,037,743.96 : x - Step 2: Convert to fraction form
905,518,225.52/1,249,620,396.56 = 509,037,743.96/x - Step 3: Cross multiply
905,518,225.52x = 1,249,620,396.56 × 509,037,743.96 - Step 4: Simplify right side
905,518,225.52x = 636,103,947,471,302,912 - Step 5: Solve for x
x = 636,103,947,471,302,912/905,518,225.52 - Step 6: Final answer
x = 702,475,035.34
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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.