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Finding the Fourth Proportional to 591,470, 816,248.76 and 323,215.28

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Solution

The fourth proportional to 591,470, 816,248.76 and 323,215.28 is: 446,048.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    591,470 : 816,248.76 = 323,215.28 : x
  2. Step 2: Convert to fraction form
    591,470/816,248.76 = 323,215.28/x
  3. Step 3: Cross multiply
    591,470x = 816,248.76 × 323,215.28
  4. Step 4: Simplify right side
    591,470x = 263,824,071,513.05
  5. Step 5: Solve for x
    x = 263,824,071,513.05/591,470
  6. Step 6: Final answer
    x = 446,048.10

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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.