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Finding the Fourth Proportional to 414,007.20, 621,010.80 and 129,700.13

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Solution

The fourth proportional to 414,007.20, 621,010.80 and 129,700.13 is: 194,550.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,007.20 : 621,010.80 = 129,700.13 : x
  2. Step 2: Convert to fraction form
    414,007.20/621,010.80 = 129,700.13/x
  3. Step 3: Cross multiply
    414,007.20x = 621,010.80 × 129,700.13
  4. Step 4: Simplify right side
    414,007.20x = 80,545,178,386.35
  5. Step 5: Solve for x
    x = 80,545,178,386.35/414,007.20
  6. Step 6: Final answer
    x = 194,550.19

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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.