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Finding the Fourth Proportional to 458,862.62, 633,238.72 and 257,665.82

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Solution

The fourth proportional to 458,862.62, 633,238.72 and 257,665.82 is: 355,583.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,862.62 : 633,238.72 = 257,665.82 : x
  2. Step 2: Convert to fraction form
    458,862.62/633,238.72 = 257,665.82/x
  3. Step 3: Cross multiply
    458,862.62x = 633,238.72 × 257,665.82
  4. Step 4: Simplify right side
    458,862.62x = 163,163,974,044.55
  5. Step 5: Solve for x
    x = 163,163,974,044.55/458,862.62
  6. Step 6: Final answer
    x = 355,583.49

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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.