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Finding the Fourth Proportional to 287,073.18, 430,485.30 and 87,347.16

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Solution

The fourth proportional to 287,073.18, 430,485.30 and 87,347.16 is: 130,982.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,073.18 : 430,485.30 = 87,347.16 : x
  2. Step 2: Convert to fraction form
    287,073.18/430,485.30 = 87,347.16/x
  3. Step 3: Cross multiply
    287,073.18x = 430,485.30 × 87,347.16
  4. Step 4: Simplify right side
    287,073.18x = 37,601,668,376.75
  5. Step 5: Solve for x
    x = 37,601,668,376.75/287,073.18
  6. Step 6: Final answer
    x = 130,982.87

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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.