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Finding the Fourth Proportional to 346,478.67, 478,006.38 and 203,186.43

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Solution

The fourth proportional to 346,478.67, 478,006.38 and 203,186.43 is: 280,318.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    346,478.67 : 478,006.38 = 203,186.43 : x
  2. Step 2: Convert to fraction form
    346,478.67/478,006.38 = 203,186.43/x
  3. Step 3: Cross multiply
    346,478.67x = 478,006.38 × 203,186.43
  4. Step 4: Simplify right side
    346,478.67x = 97,124,409,869.42
  5. Step 5: Solve for x
    x = 97,124,409,869.42/346,478.67
  6. Step 6: Final answer
    x = 280,318.58

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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.