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Finding the Fourth Proportional to 471,019.38, 649,672.53 and 289,492.98

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Solution

The fourth proportional to 471,019.38, 649,672.53 and 289,492.98 is: 399,294.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    471,019.38 : 649,672.53 = 289,492.98 : x
  2. Step 2: Convert to fraction form
    471,019.38/649,672.53 = 289,492.98/x
  3. Step 3: Cross multiply
    471,019.38x = 649,672.53 × 289,492.98
  4. Step 4: Simplify right side
    471,019.38x = 188,075,636,733.84
  5. Step 5: Solve for x
    x = 188,075,636,733.84/471,019.38
  6. Step 6: Final answer
    x = 399,294.90

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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.