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Finding the Fourth Proportional to 462,429, 693,643.68 and 130,005

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Solution

The fourth proportional to 462,429, 693,643.68 and 130,005 is: 195,007.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    462,429 : 693,643.68 = 130,005 : x
  2. Step 2: Convert to fraction form
    462,429/693,643.68 = 130,005/x
  3. Step 3: Cross multiply
    462,429x = 693,643.68 × 130,005
  4. Step 4: Simplify right side
    462,429x = 90,177,146,618.40
  5. Step 5: Solve for x
    x = 90,177,146,618.40/462,429
  6. Step 6: Final answer
    x = 195,007.55

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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.