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Finding the Fourth Proportional to 430,216.62, 645,594.66 and 164,000.40

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Solution

The fourth proportional to 430,216.62, 645,594.66 and 164,000.40 is: 246,103.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    430,216.62 : 645,594.66 = 164,000.40 : x
  2. Step 2: Convert to fraction form
    430,216.62/645,594.66 = 164,000.40/x
  3. Step 3: Cross multiply
    430,216.62x = 645,594.66 × 164,000.40
  4. Step 4: Simplify right side
    430,216.62x = 105,877,782,477.86
  5. Step 5: Solve for x
    x = 105,877,782,477.86/430,216.62
  6. Step 6: Final answer
    x = 246,103.42

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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.