Finding the Fourth Proportional to 920,430,398.10, 1,270,185,564.42 and 502,742,572.68
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Solution
The fourth proportional to 920,430,398.10, 1,270,185,564.42 and 502,742,572.68 is: 693,780,170.40
Step by Step Solution
- Step 1: Write the proportion equation
920,430,398.10 : 1,270,185,564.42 = 502,742,572.68 : x - Step 2: Convert to fraction form
920,430,398.10/1,270,185,564.42 = 502,742,572.68/x - Step 3: Cross multiply
920,430,398.10x = 1,270,185,564.42 × 502,742,572.68 - Step 4: Simplify right side
920,430,398.10x = 638,576,358,437,508,736 - Step 5: Solve for x
x = 638,576,358,437,508,736/920,430,398.10 - Step 6: Final answer
x = 693,780,170.40
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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.