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Finding the Fourth Proportional to 602,178.60, 902,231.10 and 317,447.40

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Solution

The fourth proportional to 602,178.60, 902,231.10 and 317,447.40 is: 475,624.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    602,178.60 : 902,231.10 = 317,447.40 : x
  2. Step 2: Convert to fraction form
    602,178.60/902,231.10 = 317,447.40/x
  3. Step 3: Cross multiply
    602,178.60x = 902,231.10 × 317,447.40
  4. Step 4: Simplify right side
    602,178.60x = 286,410,916,894.14
  5. Step 5: Solve for x
    x = 286,410,916,894.14/602,178.60
  6. Step 6: Final answer
    x = 475,624.54

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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.