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Finding the Fourth Proportional to 425,328.30, 638,284.05 and 188,840.70

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Solution

The fourth proportional to 425,328.30, 638,284.05 and 188,840.70 is: 283,390.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    425,328.30 : 638,284.05 = 188,840.70 : x
  2. Step 2: Convert to fraction form
    425,328.30/638,284.05 = 188,840.70/x
  3. Step 3: Cross multiply
    425,328.30x = 638,284.05 × 188,840.70
  4. Step 4: Simplify right side
    425,328.30x = 120,534,006,800.84
  5. Step 5: Solve for x
    x = 120,534,006,800.84/425,328.30
  6. Step 6: Final answer
    x = 283,390.52

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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.