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Finding the Fourth Proportional to 490,309.61, 675,063.11 and 418,401.05

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Solution

The fourth proportional to 490,309.61, 675,063.11 and 418,401.05 is: 576,058.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    490,309.61 : 675,063.11 = 418,401.05 : x
  2. Step 2: Convert to fraction form
    490,309.61/675,063.11 = 418,401.05/x
  3. Step 3: Cross multiply
    490,309.61x = 675,063.11 × 418,401.05
  4. Step 4: Simplify right side
    490,309.61x = 282,447,111,710.95
  5. Step 5: Solve for x
    x = 282,447,111,710.95/490,309.61
  6. Step 6: Final answer
    x = 576,058.70

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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.