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Finding the Fourth Proportional to 680,820, 1,021,696.56 and 237,588

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Solution

The fourth proportional to 680,820, 1,021,696.56 and 237,588 is: 356,544.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    680,820 : 1,021,696.56 = 237,588 : x
  2. Step 2: Convert to fraction form
    680,820/1,021,696.56 = 237,588/x
  3. Step 3: Cross multiply
    680,820x = 1,021,696.56 × 237,588
  4. Step 4: Simplify right side
    680,820x = 242,742,842,297.28
  5. Step 5: Solve for x
    x = 242,742,842,297.28/680,820
  6. Step 6: Final answer
    x = 356,544.82

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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.