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Finding the Fourth Proportional to 458,575, 632,833.50 and 257,371

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Solution

The fourth proportional to 458,575, 632,833.50 and 257,371 is: 355,171.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,575 : 632,833.50 = 257,371 : x
  2. Step 2: Convert to fraction form
    458,575/632,833.50 = 257,371/x
  3. Step 3: Cross multiply
    458,575x = 632,833.50 × 257,371
  4. Step 4: Simplify right side
    458,575x = 162,872,990,728.50
  5. Step 5: Solve for x
    x = 162,872,990,728.50/458,575
  6. Step 6: Final answer
    x = 355,171.98

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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.