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Finding the Fourth Proportional to 613,780.20, 920,079.74 and 314,401.77

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Solution

The fourth proportional to 613,780.20, 920,079.74 and 314,401.77 is: 471,300.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    613,780.20 : 920,079.74 = 314,401.77 : x
  2. Step 2: Convert to fraction form
    613,780.20/920,079.74 = 314,401.77/x
  3. Step 3: Cross multiply
    613,780.20x = 920,079.74 × 314,401.77
  4. Step 4: Simplify right side
    613,780.20x = 289,274,699,583.14
  5. Step 5: Solve for x
    x = 289,274,699,583.14/613,780.20
  6. Step 6: Final answer
    x = 471,300.15

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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.