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Finding the Fourth Proportional to 609,729.60, 914,594.40 and 385,780.80

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Solution

The fourth proportional to 609,729.60, 914,594.40 and 385,780.80 is: 578,671.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    609,729.60 : 914,594.40 = 385,780.80 : x
  2. Step 2: Convert to fraction form
    609,729.60/914,594.40 = 385,780.80/x
  3. Step 3: Cross multiply
    609,729.60x = 914,594.40 × 385,780.80
  4. Step 4: Simplify right side
    609,729.60x = 352,832,959,307.52
  5. Step 5: Solve for x
    x = 352,832,959,307.52/609,729.60
  6. Step 6: Final answer
    x = 578,671.20

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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.