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Finding the Fourth Proportional to 430,686.51, 645,980.55 and 115,168.02

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Solution

The fourth proportional to 430,686.51, 645,980.55 and 115,168.02 is: 172,738.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    430,686.51 : 645,980.55 = 115,168.02 : x
  2. Step 2: Convert to fraction form
    430,686.51/645,980.55 = 115,168.02/x
  3. Step 3: Cross multiply
    430,686.51x = 645,980.55 × 115,168.02
  4. Step 4: Simplify right side
    430,686.51x = 74,396,300,902.01
  5. Step 5: Solve for x
    x = 74,396,300,902.01/430,686.51
  6. Step 6: Final answer
    x = 172,738.87

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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.