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Finding the Fourth Proportional to 414,574.34, 621,970.11 and 130,253.40

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Solution

The fourth proportional to 414,574.34, 621,970.11 and 130,253.40 is: 195,414.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,574.34 : 621,970.11 = 130,253.40 : x
  2. Step 2: Convert to fraction form
    414,574.34/621,970.11 = 130,253.40/x
  3. Step 3: Cross multiply
    414,574.34x = 621,970.11 × 130,253.40
  4. Step 4: Simplify right side
    414,574.34x = 81,013,721,525.87
  5. Step 5: Solve for x
    x = 81,013,721,525.87/414,574.34
  6. Step 6: Final answer
    x = 195,414.22

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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.