Finding the Fourth Proportional to 740,319,927.40, 1,021,641,596.58 and 410,316,371.56
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Solution
The fourth proportional to 740,319,927.40, 1,021,641,596.58 and 410,316,371.56 is: 566,236,646.39
Step by Step Solution
- Step 1: Write the proportion equation
740,319,927.40 : 1,021,641,596.58 = 410,316,371.56 : x - Step 2: Convert to fraction form
740,319,927.40/1,021,641,596.58 = 410,316,371.56/x - Step 3: Cross multiply
740,319,927.40x = 1,021,641,596.58 × 410,316,371.56 - Step 4: Simplify right side
740,319,927.40x = 419,196,272,943,470,912 - Step 5: Solve for x
x = 419,196,272,943,470,912/740,319,927.40 - Step 6: Final answer
x = 566,236,646.39
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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.