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Finding the Fourth Proportional to 430,164.90, 645,333.48 and 240,894.43

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Solution

The fourth proportional to 430,164.90, 645,333.48 and 240,894.43 is: 361,389.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    430,164.90 : 645,333.48 = 240,894.43 : x
  2. Step 2: Convert to fraction form
    430,164.90/645,333.48 = 240,894.43/x
  3. Step 3: Cross multiply
    430,164.90x = 645,333.48 × 240,894.43
  4. Step 4: Simplify right side
    430,164.90x = 155,457,239,211.18
  5. Step 5: Solve for x
    x = 155,457,239,211.18/430,164.90
  6. Step 6: Final answer
    x = 361,389.87

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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.