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Finding the Fourth Proportional to 521,974.56, 720,312.64 and 307,128.54

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Solution

The fourth proportional to 521,974.56, 720,312.64 and 307,128.54 is: 423,830.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    521,974.56 : 720,312.64 = 307,128.54 : x
  2. Step 2: Convert to fraction form
    521,974.56/720,312.64 = 307,128.54/x
  3. Step 3: Cross multiply
    521,974.56x = 720,312.64 × 307,128.54
  4. Step 4: Simplify right side
    521,974.56x = 221,228,569,466.75
  5. Step 5: Solve for x
    x = 221,228,569,466.75/521,974.56
  6. Step 6: Final answer
    x = 423,830.18

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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.