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Finding the Fourth Proportional to 457,077.32, 685,878.51 and 356,956.46

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Solution

The fourth proportional to 457,077.32, 685,878.51 and 356,956.46 is: 535,639.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    457,077.32 : 685,878.51 = 356,956.46 : x
  2. Step 2: Convert to fraction form
    457,077.32/685,878.51 = 356,956.46/x
  3. Step 3: Cross multiply
    457,077.32x = 685,878.51 × 356,956.46
  4. Step 4: Simplify right side
    457,077.32x = 244,828,761,490.28
  5. Step 5: Solve for x
    x = 244,828,761,490.28/457,077.32
  6. Step 6: Final answer
    x = 535,639.71

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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.