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Finding the Fourth Proportional to 430,756.91, 646,179.56 and 164,741.17

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Solution

The fourth proportional to 430,756.91, 646,179.56 and 164,741.17 is: 247,128.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    430,756.91 : 646,179.56 = 164,741.17 : x
  2. Step 2: Convert to fraction form
    430,756.91/646,179.56 = 164,741.17/x
  3. Step 3: Cross multiply
    430,756.91x = 646,179.56 × 164,741.17
  4. Step 4: Simplify right side
    430,756.91x = 106,452,376,744.49
  5. Step 5: Solve for x
    x = 106,452,376,744.49/430,756.91
  6. Step 6: Final answer
    x = 247,128.66

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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.