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Finding the Fourth Proportional to 458,518, 632,813.16 and 257,314

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Solution

The fourth proportional to 458,518, 632,813.16 and 257,314 is: 355,126.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,518 : 632,813.16 = 257,314 : x
  2. Step 2: Convert to fraction form
    458,518/632,813.16 = 257,314/x
  3. Step 3: Cross multiply
    458,518x = 632,813.16 × 257,314
  4. Step 4: Simplify right side
    458,518x = 162,831,685,452.24
  5. Step 5: Solve for x
    x = 162,831,685,452.24/458,518
  6. Step 6: Final answer
    x = 355,126.05

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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.