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Finding the Fourth Proportional to 427,020.72, 640,030.80 and 174,143.52

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Solution

The fourth proportional to 427,020.72, 640,030.80 and 174,143.52 is: 261,011.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    427,020.72 : 640,030.80 = 174,143.52 : x
  2. Step 2: Convert to fraction form
    427,020.72/640,030.80 = 174,143.52/x
  3. Step 3: Cross multiply
    427,020.72x = 640,030.80 × 174,143.52
  4. Step 4: Simplify right side
    427,020.72x = 111,457,216,420.42
  5. Step 5: Solve for x
    x = 111,457,216,420.42/427,020.72
  6. Step 6: Final answer
    x = 261,011.26

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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.