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Finding the Fourth Proportional to 346,909.96, 478,739.46 and 203,671.72

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Solution

The fourth proportional to 346,909.96, 478,739.46 and 203,671.72 is: 281,069.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    346,909.96 : 478,739.46 = 203,671.72 : x
  2. Step 2: Convert to fraction form
    346,909.96/478,739.46 = 203,671.72/x
  3. Step 3: Cross multiply
    346,909.96x = 478,739.46 × 203,671.72
  4. Step 4: Simplify right side
    346,909.96x = 97,505,689,250.07
  5. Step 5: Solve for x
    x = 97,505,689,250.07/346,909.96
  6. Step 6: Final answer
    x = 281,069.15

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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.