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Finding the Fourth Proportional to 403,477.80, 605,216.70 and 353,614.20

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Solution

The fourth proportional to 403,477.80, 605,216.70 and 353,614.20 is: 530,421.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    403,477.80 : 605,216.70 = 353,614.20 : x
  2. Step 2: Convert to fraction form
    403,477.80/605,216.70 = 353,614.20/x
  3. Step 3: Cross multiply
    403,477.80x = 605,216.70 × 353,614.20
  4. Step 4: Simplify right side
    403,477.80x = 214,013,219,197.14
  5. Step 5: Solve for x
    x = 214,013,219,197.14/403,477.80
  6. Step 6: Final answer
    x = 530,421.30

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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.