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Finding the Fourth Proportional to 402,639, 604,057.12 and 200,330.58

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Solution

The fourth proportional to 402,639, 604,057.12 and 200,330.58 is: 300,544.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,639 : 604,057.12 = 200,330.58 : x
  2. Step 2: Convert to fraction form
    402,639/604,057.12 = 200,330.58/x
  3. Step 3: Cross multiply
    402,639x = 604,057.12 × 200,330.58
  4. Step 4: Simplify right side
    402,639x = 121,011,113,202.73
  5. Step 5: Solve for x
    x = 121,011,113,202.73/402,639
  6. Step 6: Final answer
    x = 300,544.94

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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.