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Finding the Fourth Proportional to 414,088.16, 621,132.37 and 129,800.84

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Solution

The fourth proportional to 414,088.16, 621,132.37 and 129,800.84 is: 194,701.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,088.16 : 621,132.37 = 129,800.84 : x
  2. Step 2: Convert to fraction form
    414,088.16/621,132.37 = 129,800.84/x
  3. Step 3: Cross multiply
    414,088.16x = 621,132.37 × 129,800.84
  4. Step 4: Simplify right side
    414,088.16x = 80,623,499,947.03
  5. Step 5: Solve for x
    x = 80,623,499,947.03/414,088.16
  6. Step 6: Final answer
    x = 194,701.29

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1.5x scale

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.