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Finding the Fourth Proportional to 287,182.16, 430,896.25 and 118,824.87

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Solution

The fourth proportional to 287,182.16, 430,896.25 and 118,824.87 is: 178,288.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,182.16 : 430,896.25 = 118,824.87 : x
  2. Step 2: Convert to fraction form
    287,182.16/430,896.25 = 118,824.87/x
  3. Step 3: Cross multiply
    287,182.16x = 430,896.25 × 118,824.87
  4. Step 4: Simplify right side
    287,182.16x = 51,201,190,889.74
  5. Step 5: Solve for x
    x = 51,201,190,889.74/287,182.16
  6. Step 6: Final answer
    x = 178,288.20

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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.