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Finding the Fourth Proportional to 423,428.45, 584,309.83 and 251,353.78

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Solution

The fourth proportional to 423,428.45, 584,309.83 and 251,353.78 is: 346,855.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    423,428.45 : 584,309.83 = 251,353.78 : x
  2. Step 2: Convert to fraction form
    423,428.45/584,309.83 = 251,353.78/x
  3. Step 3: Cross multiply
    423,428.45x = 584,309.83 × 251,353.78
  4. Step 4: Simplify right side
    423,428.45x = 146,868,484,461.66
  5. Step 5: Solve for x
    x = 146,868,484,461.66/423,428.45
  6. Step 6: Final answer
    x = 346,855.49

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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.