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Finding the Fourth Proportional to 557,664.64, 836,495.28 and 158,305.76

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Solution

The fourth proportional to 557,664.64, 836,495.28 and 158,305.76 is: 237,458.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    557,664.64 : 836,495.28 = 158,305.76 : x
  2. Step 2: Convert to fraction form
    557,664.64/836,495.28 = 158,305.76/x
  3. Step 3: Cross multiply
    557,664.64x = 836,495.28 × 158,305.76
  4. Step 4: Simplify right side
    557,664.64x = 132,422,021,036.81
  5. Step 5: Solve for x
    x = 132,422,021,036.81/557,664.64
  6. Step 6: Final answer
    x = 237,458.16

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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.