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Finding the Fourth Proportional to 473,813.22, 713,916.57 and 391,419.20

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Solution

The fourth proportional to 473,813.22, 713,916.57 and 391,419.20 is: 589,769.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    473,813.22 : 713,916.57 = 391,419.20 : x
  2. Step 2: Convert to fraction form
    473,813.22/713,916.57 = 391,419.20/x
  3. Step 3: Cross multiply
    473,813.22x = 713,916.57 × 391,419.20
  4. Step 4: Simplify right side
    473,813.22x = 279,440,652,696.14
  5. Step 5: Solve for x
    x = 279,440,652,696.14/473,813.22
  6. Step 6: Final answer
    x = 589,769.64

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.