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Finding the Fourth Proportional to 409,800.02, 614,700.09 and 319,994.51

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Solution

The fourth proportional to 409,800.02, 614,700.09 and 319,994.51 is: 479,991.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,800.02 : 614,700.09 = 319,994.51 : x
  2. Step 2: Convert to fraction form
    409,800.02/614,700.09 = 319,994.51/x
  3. Step 3: Cross multiply
    409,800.02x = 614,700.09 × 319,994.51
  4. Step 4: Simplify right side
    409,800.02x = 196,700,651,023.01
  5. Step 5: Solve for x
    x = 196,700,651,023.01/409,800.02
  6. Step 6: Final answer
    x = 479,991.81

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1.5x scale

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.