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Finding the Fourth Proportional to 287,203, 430,804.52 and 76,835.48

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Solution

The fourth proportional to 287,203, 430,804.52 and 76,835.48 is: 115,253.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,203 : 430,804.52 = 76,835.48 : x
  2. Step 2: Convert to fraction form
    287,203/430,804.52 = 76,835.48/x
  3. Step 3: Cross multiply
    287,203x = 430,804.52 × 76,835.48
  4. Step 4: Simplify right side
    287,203x = 33,101,072,080.37
  5. Step 5: Solve for x
    x = 33,101,072,080.37/287,203
  6. Step 6: Final answer
    x = 115,253.23

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1.5x scale

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.