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Finding the Fourth Proportional to 346,358.70, 478,083.87 and 203,176.62

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Solution

The fourth proportional to 346,358.70, 478,083.87 and 203,176.62 is: 280,447.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    346,358.70 : 478,083.87 = 203,176.62 : x
  2. Step 2: Convert to fraction form
    346,358.70/478,083.87 = 203,176.62/x
  3. Step 3: Cross multiply
    346,358.70x = 478,083.87 × 203,176.62
  4. Step 4: Simplify right side
    346,358.70x = 97,135,464,783.12
  5. Step 5: Solve for x
    x = 97,135,464,783.12/346,358.70
  6. Step 6: Final answer
    x = 280,447.60

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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.