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Finding the Fourth Proportional to 401,792.90, 602,689.38 and 313,112.78

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Solution

The fourth proportional to 401,792.90, 602,689.38 and 313,112.78 is: 469,669.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    401,792.90 : 602,689.38 = 313,112.78 : x
  2. Step 2: Convert to fraction form
    401,792.90/602,689.38 = 313,112.78/x
  3. Step 3: Cross multiply
    401,792.90x = 602,689.38 × 313,112.78
  4. Step 4: Simplify right side
    401,792.90x = 188,709,747,248.28
  5. Step 5: Solve for x
    x = 188,709,747,248.28/401,792.90
  6. Step 6: Final answer
    x = 469,669.19

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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.