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Finding the Fourth Proportional to 458,322, 632,488.68 and 257,122.32

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Solution

The fourth proportional to 458,322, 632,488.68 and 257,122.32 is: 354,831.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,322 : 632,488.68 = 257,122.32 : x
  2. Step 2: Convert to fraction form
    458,322/632,488.68 = 257,122.32/x
  3. Step 3: Cross multiply
    458,322x = 632,488.68 × 257,122.32
  4. Step 4: Simplify right side
    458,322x = 162,626,956,775.34
  5. Step 5: Solve for x
    x = 162,626,956,775.34/458,322
  6. Step 6: Final answer
    x = 354,831.23

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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.