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Finding the Fourth Proportional to 457,343.64, 685,904.76 and 190,959.48

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Solution

The fourth proportional to 457,343.64, 685,904.76 and 190,959.48 is: 286,393.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    457,343.64 : 685,904.76 = 190,959.48 : x
  2. Step 2: Convert to fraction form
    457,343.64/685,904.76 = 190,959.48/x
  3. Step 3: Cross multiply
    457,343.64x = 685,904.76 × 190,959.48
  4. Step 4: Simplify right side
    457,343.64x = 130,980,016,299.13
  5. Step 5: Solve for x
    x = 130,980,016,299.13/457,343.64
  6. Step 6: Final answer
    x = 286,393.00

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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.