Home / 409,048.20-613,697.34-209,509.76

Finding the Fourth Proportional to 409,048.20, 613,697.34 and 209,509.76

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Solution

The fourth proportional to 409,048.20, 613,697.34 and 209,509.76 is: 314,328.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,048.20 : 613,697.34 = 209,509.76 : x
  2. Step 2: Convert to fraction form
    409,048.20/613,697.34 = 209,509.76/x
  3. Step 3: Cross multiply
    409,048.20x = 613,697.34 × 209,509.76
  4. Step 4: Simplify right side
    409,048.20x = 128,575,579,347.55
  5. Step 5: Solve for x
    x = 128,575,579,347.55/409,048.20
  6. Step 6: Final answer
    x = 314,328.68

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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.