Finding the Fourth Proportional to 832,308,653.30, 1,148,585,843.14 and 497,781,124.08
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Solution
The fourth proportional to 832,308,653.30, 1,148,585,843.14 and 497,781,124.08 is: 686,937,892.37
Step by Step Solution
- Step 1: Write the proportion equation
832,308,653.30 : 1,148,585,843.14 = 497,781,124.08 : x - Step 2: Convert to fraction form
832,308,653.30/1,148,585,843.14 = 497,781,124.08/x - Step 3: Cross multiply
832,308,653.30x = 1,148,585,843.14 × 497,781,124.08 - Step 4: Simplify right side
832,308,653.30x = 571,744,352,100,603,776 - Step 5: Solve for x
x = 571,744,352,100,603,776/832,308,653.30 - Step 6: Final answer
x = 686,937,892.37
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1.5x scale
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.