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Finding the Fourth Proportional to 578,564.11, 798,357.69 and 320,434.30

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Solution

The fourth proportional to 578,564.11, 798,357.69 and 320,434.30 is: 442,165.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    578,564.11 : 798,357.69 = 320,434.30 : x
  2. Step 2: Convert to fraction form
    578,564.11/798,357.69 = 320,434.30/x
  3. Step 3: Cross multiply
    578,564.11x = 798,357.69 × 320,434.30
  4. Step 4: Simplify right side
    578,564.11x = 255,821,186,349.96
  5. Step 5: Solve for x
    x = 255,821,186,349.96/578,564.11
  6. Step 6: Final answer
    x = 442,165.67

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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.