Finding the Fourth Proportional to 430,075,206.18, 645,110,968.09 and 119,181,934.14
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Solution
The fourth proportional to 430,075,206.18, 645,110,968.09 and 119,181,934.14 is: 178,772,390.98
Step by Step Solution
- Step 1: Write the proportion equation
430,075,206.18 : 645,110,968.09 = 119,181,934.14 : x - Step 2: Convert to fraction form
430,075,206.18/645,110,968.09 = 119,181,934.14/x - Step 3: Cross multiply
430,075,206.18x = 645,110,968.09 × 119,181,934.14 - Step 4: Simplify right side
430,075,206.18x = 76,885,572,911,894,032 - Step 5: Solve for x
x = 76,885,572,911,894,032/430,075,206.18 - Step 6: Final answer
x = 178,772,390.98
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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.