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Finding the Fourth Proportional to 462,486.60, 693,729.90 and 130,019.40

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Solution

The fourth proportional to 462,486.60, 693,729.90 and 130,019.40 is: 195,029.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    462,486.60 : 693,729.90 = 130,019.40 : x
  2. Step 2: Convert to fraction form
    462,486.60/693,729.90 = 130,019.40/x
  3. Step 3: Cross multiply
    462,486.60x = 693,729.90 × 130,019.40
  4. Step 4: Simplify right side
    462,486.60x = 90,198,345,360.06
  5. Step 5: Solve for x
    x = 90,198,345,360.06/462,486.60
  6. Step 6: Final answer
    x = 195,029.10

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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.