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Finding the Fourth Proportional to 287,041.73, 430,659.86 and 127,095.57

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Solution

The fourth proportional to 287,041.73, 430,659.86 and 127,095.57 is: 190,686.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,041.73 : 430,659.86 = 127,095.57 : x
  2. Step 2: Convert to fraction form
    287,041.73/430,659.86 = 127,095.57/x
  3. Step 3: Cross multiply
    287,041.73x = 430,659.86 × 127,095.57
  4. Step 4: Simplify right side
    287,041.73x = 54,734,959,747.34
  5. Step 5: Solve for x
    x = 54,734,959,747.34/287,041.73
  6. Step 6: Final answer
    x = 190,686.42

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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.