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Finding the Fourth Proportional to 419,358.80, 629,038.20 and 325,931.60

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Solution

The fourth proportional to 419,358.80, 629,038.20 and 325,931.60 is: 488,897.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,358.80 : 629,038.20 = 325,931.60 : x
  2. Step 2: Convert to fraction form
    419,358.80/629,038.20 = 325,931.60/x
  3. Step 3: Cross multiply
    419,358.80x = 629,038.20 × 325,931.60
  4. Step 4: Simplify right side
    419,358.80x = 205,023,426,987.12
  5. Step 5: Solve for x
    x = 205,023,426,987.12/419,358.80
  6. Step 6: Final answer
    x = 488,897.40

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.