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Finding the Fourth Proportional to 461,095, 636,835.98 and 309,929.56

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Solution

The fourth proportional to 461,095, 636,835.98 and 309,929.56 is: 428,055.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    461,095 : 636,835.98 = 309,929.56 : x
  2. Step 2: Convert to fraction form
    461,095/636,835.98 = 309,929.56/x
  3. Step 3: Cross multiply
    461,095x = 636,835.98 × 309,929.56
  4. Step 4: Simplify right side
    461,095x = 197,374,295,073.57
  5. Step 5: Solve for x
    x = 197,374,295,073.57/461,095
  6. Step 6: Final answer
    x = 428,055.60

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1.5x scale

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.