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Finding the Fourth Proportional to 499,401.72, 689,011.65 and 305,607.21

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Solution

The fourth proportional to 499,401.72, 689,011.65 and 305,607.21 is: 421,638.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    499,401.72 : 689,011.65 = 305,607.21 : x
  2. Step 2: Convert to fraction form
    499,401.72/689,011.65 = 305,607.21/x
  3. Step 3: Cross multiply
    499,401.72x = 689,011.65 × 305,607.21
  4. Step 4: Simplify right side
    499,401.72x = 210,566,928,014.00
  5. Step 5: Solve for x
    x = 210,566,928,014.00/499,401.72
  6. Step 6: Final answer
    x = 421,638.37

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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.