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Finding the Fourth Proportional to 310,730.78, 428,841.38 and 189,942.77

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Solution

The fourth proportional to 310,730.78, 428,841.38 and 189,942.77 is: 262,141.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,730.78 : 428,841.38 = 189,942.77 : x
  2. Step 2: Convert to fraction form
    310,730.78/428,841.38 = 189,942.77/x
  3. Step 3: Cross multiply
    310,730.78x = 428,841.38 × 189,942.77
  4. Step 4: Simplify right side
    310,730.78x = 81,455,318,834.34
  5. Step 5: Solve for x
    x = 81,455,318,834.34/310,730.78
  6. Step 6: Final answer
    x = 262,141.13

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1.5x scale

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.