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Finding the Fourth Proportional to 378,758.28, 523,438.74 and 310,669.32

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Solution

The fourth proportional to 378,758.28, 523,438.74 and 310,669.32 is: 429,340.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,758.28 : 523,438.74 = 310,669.32 : x
  2. Step 2: Convert to fraction form
    378,758.28/523,438.74 = 310,669.32/x
  3. Step 3: Cross multiply
    378,758.28x = 523,438.74 × 310,669.32
  4. Step 4: Simplify right side
    378,758.28x = 162,616,357,417.46
  5. Step 5: Solve for x
    x = 162,616,357,417.46/378,758.28
  6. Step 6: Final answer
    x = 429,340.73

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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.