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Finding the Fourth Proportional to 604,689.60, 906,256.80 and 367,780.80

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Solution

The fourth proportional to 604,689.60, 906,256.80 and 367,780.80 is: 551,198.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    604,689.60 : 906,256.80 = 367,780.80 : x
  2. Step 2: Convert to fraction form
    604,689.60/906,256.80 = 367,780.80/x
  3. Step 3: Cross multiply
    604,689.60x = 906,256.80 × 367,780.80
  4. Step 4: Simplify right side
    604,689.60x = 333,303,850,909.44
  5. Step 5: Solve for x
    x = 333,303,850,909.44/604,689.60
  6. Step 6: Final answer
    x = 551,198.25

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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.