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Finding the Fourth Proportional to 287,589.16, 430,718.46 and 277,624.36

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Solution

The fourth proportional to 287,589.16, 430,718.46 and 277,624.36 is: 415,794.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,589.16 : 430,718.46 = 277,624.36 : x
  2. Step 2: Convert to fraction form
    287,589.16/430,718.46 = 277,624.36/x
  3. Step 3: Cross multiply
    287,589.16x = 430,718.46 × 277,624.36
  4. Step 4: Simplify right side
    287,589.16x = 119,577,936,797.69
  5. Step 5: Solve for x
    x = 119,577,936,797.69/287,589.16
  6. Step 6: Final answer
    x = 415,794.31

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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.