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Finding the Fourth Proportional to 426,945.80, 640,431.66 and 146,459

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Solution

The fourth proportional to 426,945.80, 640,431.66 and 146,459 is: 219,692.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    426,945.80 : 640,431.66 = 146,459 : x
  2. Step 2: Convert to fraction form
    426,945.80/640,431.66 = 146,459/x
  3. Step 3: Cross multiply
    426,945.80x = 640,431.66 × 146,459
  4. Step 4: Simplify right side
    426,945.80x = 93,796,980,491.94
  5. Step 5: Solve for x
    x = 93,796,980,491.94/426,945.80
  6. Step 6: Final answer
    x = 219,692.95

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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.