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Finding the Fourth Proportional to 512,916.53, 707,858.33 and 340,564.64

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Solution

The fourth proportional to 512,916.53, 707,858.33 and 340,564.64 is: 470,001.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,916.53 : 707,858.33 = 340,564.64 : x
  2. Step 2: Convert to fraction form
    512,916.53/707,858.33 = 340,564.64/x
  3. Step 3: Cross multiply
    512,916.53x = 707,858.33 × 340,564.64
  4. Step 4: Simplify right side
    512,916.53x = 241,071,512,085.34
  5. Step 5: Solve for x
    x = 241,071,512,085.34/512,916.53
  6. Step 6: Final answer
    x = 470,001.45

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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.