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Finding the Fourth Proportional to 458,964, 633,370.56 and 257,760

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Solution

The fourth proportional to 458,964, 633,370.56 and 257,760 is: 355,708.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,964 : 633,370.56 = 257,760 : x
  2. Step 2: Convert to fraction form
    458,964/633,370.56 = 257,760/x
  3. Step 3: Cross multiply
    458,964x = 633,370.56 × 257,760
  4. Step 4: Simplify right side
    458,964x = 163,257,595,545.60
  5. Step 5: Solve for x
    x = 163,257,595,545.60/458,964
  6. Step 6: Final answer
    x = 355,708.93

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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.