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Finding the Fourth Proportional to 539,340.30, 809,302.05 and 223,829.10

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Solution

The fourth proportional to 539,340.30, 809,302.05 and 223,829.10 is: 335,864.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    539,340.30 : 809,302.05 = 223,829.10 : x
  2. Step 2: Convert to fraction form
    539,340.30/809,302.05 = 223,829.10/x
  3. Step 3: Cross multiply
    539,340.30x = 809,302.05 × 223,829.10
  4. Step 4: Simplify right side
    539,340.30x = 181,145,349,479.66
  5. Step 5: Solve for x
    x = 181,145,349,479.66/539,340.30
  6. Step 6: Final answer
    x = 335,864.67

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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.