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Finding the Fourth Proportional to 472,180, 651,635.76 and 270,988.96

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Solution

The fourth proportional to 472,180, 651,635.76 and 270,988.96 is: 373,980.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,180 : 651,635.76 = 270,988.96 : x
  2. Step 2: Convert to fraction form
    472,180/651,635.76 = 270,988.96/x
  3. Step 3: Cross multiply
    472,180x = 651,635.76 × 270,988.96
  4. Step 4: Simplify right side
    472,180x = 176,586,096,901.21
  5. Step 5: Solve for x
    x = 176,586,096,901.21/472,180
  6. Step 6: Final answer
    x = 373,980.47

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.