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Finding the Fourth Proportional to 430,221.12, 645,601.41 and 164,004.90

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Solution

The fourth proportional to 430,221.12, 645,601.41 and 164,004.90 is: 246,110.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    430,221.12 : 645,601.41 = 164,004.90 : x
  2. Step 2: Convert to fraction form
    430,221.12/645,601.41 = 164,004.90/x
  3. Step 3: Cross multiply
    430,221.12x = 645,601.41 × 164,004.90
  4. Step 4: Simplify right side
    430,221.12x = 105,881,794,686.91
  5. Step 5: Solve for x
    x = 105,881,794,686.91/430,221.12
  6. Step 6: Final answer
    x = 246,110.17

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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.