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Finding the Fourth Proportional to 497,696.90, 686,792.13 and 282,807.14

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Solution

The fourth proportional to 497,696.90, 686,792.13 and 282,807.14 is: 390,257.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    497,696.90 : 686,792.13 = 282,807.14 : x
  2. Step 2: Convert to fraction form
    497,696.90/686,792.13 = 282,807.14/x
  3. Step 3: Cross multiply
    497,696.90x = 686,792.13 × 282,807.14
  4. Step 4: Simplify right side
    497,696.90x = 194,229,718,059.81
  5. Step 5: Solve for x
    x = 194,229,718,059.81/497,696.90
  6. Step 6: Final answer
    x = 390,257.04

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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.