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Finding the Fourth Proportional to 458,524.50, 632,822.13 and 257,320.50

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Solution

The fourth proportional to 458,524.50, 632,822.13 and 257,320.50 is: 355,135.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,524.50 : 632,822.13 = 257,320.50 : x
  2. Step 2: Convert to fraction form
    458,524.50/632,822.13 = 257,320.50/x
  3. Step 3: Cross multiply
    458,524.50x = 632,822.13 × 257,320.50
  4. Step 4: Simplify right side
    458,524.50x = 162,838,106,902.67
  5. Step 5: Solve for x
    x = 162,838,106,902.67/458,524.50
  6. Step 6: Final answer
    x = 355,135.02

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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.