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Finding the Fourth Proportional to 458,522, 632,818.70 and 257,318

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Solution

The fourth proportional to 458,522, 632,818.70 and 257,318 is: 355,131.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,522 : 632,818.70 = 257,318 : x
  2. Step 2: Convert to fraction form
    458,522/632,818.70 = 257,318/x
  3. Step 3: Cross multiply
    458,522x = 632,818.70 × 257,318
  4. Step 4: Simplify right side
    458,522x = 162,835,642,246.60
  5. Step 5: Solve for x
    x = 162,835,642,246.60/458,522
  6. Step 6: Final answer
    x = 355,131.58

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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.