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Finding the Fourth Proportional to 458,519, 632,814.54 and 257,315

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Solution

The fourth proportional to 458,519, 632,814.54 and 257,315 is: 355,127.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,519 : 632,814.54 = 257,315 : x
  2. Step 2: Convert to fraction form
    458,519/632,814.54 = 257,315/x
  3. Step 3: Cross multiply
    458,519x = 632,814.54 × 257,315
  4. Step 4: Simplify right side
    458,519x = 162,832,673,360.10
  5. Step 5: Solve for x
    x = 162,832,673,360.10/458,519
  6. Step 6: Final answer
    x = 355,127.43

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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.