Finding the Fourth Proportional to 460,426,557.16, 690,748,371.42 and 149,533,126.12
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Solution
The fourth proportional to 460,426,557.16, 690,748,371.42 and 149,533,126.12 is: 224,334,938.41
Step by Step Solution
- Step 1: Write the proportion equation
460,426,557.16 : 690,748,371.42 = 149,533,126.12 : x - Step 2: Convert to fraction form
460,426,557.16/690,748,371.42 = 149,533,126.12/x - Step 3: Cross multiply
460,426,557.16x = 690,748,371.42 × 149,533,126.12 - Step 4: Simplify right side
460,426,557.16x = 103,289,763,340,731,456 - Step 5: Solve for x
x = 103,289,763,340,731,456/460,426,557.16 - Step 6: Final answer
x = 224,334,938.41
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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.