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Finding the Fourth Proportional to 429,455.57, 643,340.74 and 349,579.49

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Solution

The fourth proportional to 429,455.57, 643,340.74 and 349,579.49 is: 523,683.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    429,455.57 : 643,340.74 = 349,579.49 : x
  2. Step 2: Convert to fraction form
    429,455.57/643,340.74 = 349,579.49/x
  3. Step 3: Cross multiply
    429,455.57x = 643,340.74 × 349,579.49
  4. Step 4: Simplify right side
    429,455.57x = 224,898,723,694.77
  5. Step 5: Solve for x
    x = 224,898,723,694.77/429,455.57
  6. Step 6: Final answer
    x = 523,683.34

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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.