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Finding the Fourth Proportional to 462,298.16, 693,471 and 129,900.08

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Solution

The fourth proportional to 462,298.16, 693,471 and 129,900.08 is: 194,856.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    462,298.16 : 693,471 = 129,900.08 : x
  2. Step 2: Convert to fraction form
    462,298.16/693,471 = 129,900.08/x
  3. Step 3: Cross multiply
    462,298.16x = 693,471 × 129,900.08
  4. Step 4: Simplify right side
    462,298.16x = 90,081,938,377.68
  5. Step 5: Solve for x
    x = 90,081,938,377.68/462,298.16
  6. Step 6: Final answer
    x = 194,856.80

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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.