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Finding the Fourth Proportional to 472,022.88, 651,318.48 and 270,780

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Solution

The fourth proportional to 472,022.88, 651,318.48 and 270,780 is: 373,634.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,022.88 : 651,318.48 = 270,780 : x
  2. Step 2: Convert to fraction form
    472,022.88/651,318.48 = 270,780/x
  3. Step 3: Cross multiply
    472,022.88x = 651,318.48 × 270,780
  4. Step 4: Simplify right side
    472,022.88x = 176,364,018,014.40
  5. Step 5: Solve for x
    x = 176,364,018,014.40/472,022.88
  6. Step 6: Final answer
    x = 373,634.47

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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.