Finding the Fourth Proportional to 538,294,249,439.14, 742,684,793,538.48 and 309,917,619,583.42
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Solution
The fourth proportional to 538,294,249,439.14, 742,684,793,538.48 and 309,917,619,583.42 is: 427,593,465,012.99
Step by Step Solution
- Step 1: Write the proportion equation
538,294,249,439.14 : 742,684,793,538.48 = 309,917,619,583.42 : x - Step 2: Convert to fraction form
538,294,249,439.14/742,684,793,538.48 = 309,917,619,583.42/x - Step 3: Cross multiply
538,294,249,439.14x = 742,684,793,538.48 × 309,917,619,583.42 - Step 4: Simplify right side
538,294,249,439.14x = 230,171,103,314,249,445,801,984 - Step 5: Solve for x
x = 230,171,103,314,249,445,801,984/538,294,249,439.14 - Step 6: Final answer
x = 427,593,465,012.99
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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.