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Finding the Fourth Proportional to 523,529.40, 785,405.70 and 298,997.40

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Solution

The fourth proportional to 523,529.40, 785,405.70 and 298,997.40 is: 448,559.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    523,529.40 : 785,405.70 = 298,997.40 : x
  2. Step 2: Convert to fraction form
    523,529.40/785,405.70 = 298,997.40/x
  3. Step 3: Cross multiply
    523,529.40x = 785,405.70 × 298,997.40
  4. Step 4: Simplify right side
    523,529.40x = 234,834,262,245.18
  5. Step 5: Solve for x
    x = 234,834,262,245.18/523,529.40
  6. Step 6: Final answer
    x = 448,559.84

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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.