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Finding the Fourth Proportional to 430,121.99, 645,141.29 and 130,605.20

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Solution

The fourth proportional to 430,121.99, 645,141.29 and 130,605.20 is: 195,895.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    430,121.99 : 645,141.29 = 130,605.20 : x
  2. Step 2: Convert to fraction form
    430,121.99/645,141.29 = 130,605.20/x
  3. Step 3: Cross multiply
    430,121.99x = 645,141.29 × 130,605.20
  4. Step 4: Simplify right side
    430,121.99x = 84,258,809,148.07
  5. Step 5: Solve for x
    x = 84,258,809,148.07/430,121.99
  6. Step 6: Final answer
    x = 195,895.14

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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.