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Finding the Fourth Proportional to 346,650.21, 478,380.46 and 203,412.64

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Solution

The fourth proportional to 346,650.21, 478,380.46 and 203,412.64 is: 280,711.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    346,650.21 : 478,380.46 = 203,412.64 : x
  2. Step 2: Convert to fraction form
    346,650.21/478,380.46 = 203,412.64/x
  3. Step 3: Cross multiply
    346,650.21x = 478,380.46 × 203,412.64
  4. Step 4: Simplify right side
    346,650.21x = 97,308,631,275.95
  5. Step 5: Solve for x
    x = 97,308,631,275.95/346,650.21
  6. Step 6: Final answer
    x = 280,711.30

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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.