Finding the Fourth Proportional to 920,430,401.10, 1,270,185,568.56 and 502,742,575.68
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Solution
The fourth proportional to 920,430,401.10, 1,270,185,568.56 and 502,742,575.68 is: 693,780,174.54
Step by Step Solution
- Step 1: Write the proportion equation
920,430,401.10 : 1,270,185,568.56 = 502,742,575.68 : x - Step 2: Convert to fraction form
920,430,401.10/1,270,185,568.56 = 502,742,575.68/x - Step 3: Cross multiply
920,430,401.10x = 1,270,185,568.56 × 502,742,575.68 - Step 4: Simplify right side
920,430,401.10x = 638,576,364,329,419,648 - Step 5: Solve for x
x = 638,576,364,329,419,648/920,430,401.10 - Step 6: Final answer
x = 693,780,174.54
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1.5x scale
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.