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Finding the Fourth Proportional to 521,546.64, 719,709.48 and 320,303.76

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Solution

The fourth proportional to 521,546.64, 719,709.48 and 320,303.76 is: 442,003.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    521,546.64 : 719,709.48 = 320,303.76 : x
  2. Step 2: Convert to fraction form
    521,546.64/719,709.48 = 320,303.76/x
  3. Step 3: Cross multiply
    521,546.64x = 719,709.48 × 320,303.76
  4. Step 4: Simplify right side
    521,546.64x = 230,525,652,551.65
  5. Step 5: Solve for x
    x = 230,525,652,551.65/521,546.64
  6. Step 6: Final answer
    x = 442,003.91

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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.