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Finding the Fourth Proportional to 423,174, 634,801.90 and 123,647.74

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Solution

The fourth proportional to 423,174, 634,801.90 and 123,647.74 is: 185,483.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    423,174 : 634,801.90 = 123,647.74 : x
  2. Step 2: Convert to fraction form
    423,174/634,801.90 = 123,647.74/x
  3. Step 3: Cross multiply
    423,174x = 634,801.90 × 123,647.74
  4. Step 4: Simplify right side
    423,174x = 78,491,820,282.71
  5. Step 5: Solve for x
    x = 78,491,820,282.71/423,174
  6. Step 6: Final answer
    x = 185,483.56

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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.