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Finding the Fourth Proportional to 713,664, 1,070,910.72 and 319,680

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Solution

The fourth proportional to 713,664, 1,070,910.72 and 319,680 is: 479,705.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    713,664 : 1,070,910.72 = 319,680 : x
  2. Step 2: Convert to fraction form
    713,664/1,070,910.72 = 319,680/x
  3. Step 3: Cross multiply
    713,664x = 1,070,910.72 × 319,680
  4. Step 4: Simplify right side
    713,664x = 342,348,738,969.60
  5. Step 5: Solve for x
    x = 342,348,738,969.60/713,664
  6. Step 6: Final answer
    x = 479,705.77

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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.