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Finding the Fourth Proportional to 314,772, 434,385.36 and 173,460

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Solution

The fourth proportional to 314,772, 434,385.36 and 173,460 is: 239,374.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,772 : 434,385.36 = 173,460 : x
  2. Step 2: Convert to fraction form
    314,772/434,385.36 = 173,460/x
  3. Step 3: Cross multiply
    314,772x = 434,385.36 × 173,460
  4. Step 4: Simplify right side
    314,772x = 75,348,484,545.60
  5. Step 5: Solve for x
    x = 75,348,484,545.60/314,772
  6. Step 6: Final answer
    x = 239,374.80

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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.