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Finding the Fourth Proportional to 456,135.30, 629,465.12 and 254,931.30

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Solution

The fourth proportional to 456,135.30, 629,465.12 and 254,931.30 is: 351,804.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    456,135.30 : 629,465.12 = 254,931.30 : x
  2. Step 2: Convert to fraction form
    456,135.30/629,465.12 = 254,931.30/x
  3. Step 3: Cross multiply
    456,135.30x = 629,465.12 × 254,931.30
  4. Step 4: Simplify right side
    456,135.30x = 160,470,361,346.26
  5. Step 5: Solve for x
    x = 160,470,361,346.26/456,135.30
  6. Step 6: Final answer
    x = 351,804.30

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.