Finding the Fourth Proportional to 1,780,312,701.04, 2,456,506,675.80 and 1,027,351,185.46
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Solution
The fourth proportional to 1,780,312,701.04, 2,456,506,675.80 and 1,027,351,185.46 is: 1,417,557,176.33
Step by Step Solution
- Step 1: Write the proportion equation
1,780,312,701.04 : 2,456,506,675.80 = 1,027,351,185.46 : x - Step 2: Convert to fraction form
1,780,312,701.04/2,456,506,675.80 = 1,027,351,185.46/x - Step 3: Cross multiply
1,780,312,701.04x = 2,456,506,675.80 × 1,027,351,185.46 - Step 4: Simplify right side
1,780,312,701.04x = 2,523,695,045,473,533,952 - Step 5: Solve for x
x = 2,523,695,045,473,533,952/1,780,312,701.04 - Step 6: Final answer
x = 1,417,557,176.33
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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.