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Finding the Fourth Proportional to 430,400.70, 645,622.74 and 164,182.14

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Solution

The fourth proportional to 430,400.70, 645,622.74 and 164,182.14 is: 246,281.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    430,400.70 : 645,622.74 = 164,182.14 : x
  2. Step 2: Convert to fraction form
    430,400.70/645,622.74 = 164,182.14/x
  3. Step 3: Cross multiply
    430,400.70x = 645,622.74 × 164,182.14
  4. Step 4: Simplify right side
    430,400.70x = 105,999,723,085.86
  5. Step 5: Solve for x
    x = 105,999,723,085.86/430,400.70
  6. Step 6: Final answer
    x = 246,281.48

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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.