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Finding the Fourth Proportional to 601,461.21, 830,016.45 and 329,539.40

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Solution

The fourth proportional to 601,461.21, 830,016.45 and 329,539.40 is: 454,764.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    601,461.21 : 830,016.45 = 329,539.40 : x
  2. Step 2: Convert to fraction form
    601,461.21/830,016.45 = 329,539.40/x
  3. Step 3: Cross multiply
    601,461.21x = 830,016.45 × 329,539.40
  4. Step 4: Simplify right side
    601,461.21x = 273,523,122,923.13
  5. Step 5: Solve for x
    x = 273,523,122,923.13/601,461.21
  6. Step 6: Final answer
    x = 454,764.36

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1.5x scale

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.