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Finding the Fourth Proportional to 419,209.31, 578,893.11 and 266,296.79

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Solution

The fourth proportional to 419,209.31, 578,893.11 and 266,296.79 is: 367,733.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,209.31 : 578,893.11 = 266,296.79 : x
  2. Step 2: Convert to fraction form
    419,209.31/578,893.11 = 266,296.79/x
  3. Step 3: Cross multiply
    419,209.31x = 578,893.11 × 266,296.79
  4. Step 4: Simplify right side
    419,209.31x = 154,157,376,946.12
  5. Step 5: Solve for x
    x = 154,157,376,946.12/419,209.31
  6. Step 6: Final answer
    x = 367,733.67

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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.