Finding the Fourth Proportional to 1,009,964,232.06, 1,515,090,931.26 and 310,515,098.57
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Solution
The fourth proportional to 1,009,964,232.06, 1,515,090,931.26 and 310,515,098.57 is: 465,817,100.18
Step by Step Solution
- Step 1: Write the proportion equation
1,009,964,232.06 : 1,515,090,931.26 = 310,515,098.57 : x - Step 2: Convert to fraction form
1,009,964,232.06/1,515,090,931.26 = 310,515,098.57/x - Step 3: Cross multiply
1,009,964,232.06x = 1,515,090,931.26 × 310,515,098.57 - Step 4: Simplify right side
1,009,964,232.06x = 470,458,609,862,712,000 - Step 5: Solve for x
x = 470,458,609,862,712,000/1,009,964,232.06 - Step 6: Final answer
x = 465,817,100.18
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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.