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Finding the Fourth Proportional to 287,098.40, 430,739.40 and 87,456.80

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Solution

The fourth proportional to 287,098.40, 430,739.40 and 87,456.80 is: 131,213.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,098.40 : 430,739.40 = 87,456.80 : x
  2. Step 2: Convert to fraction form
    287,098.40/430,739.40 = 87,456.80/x
  3. Step 3: Cross multiply
    287,098.40x = 430,739.40 × 87,456.80
  4. Step 4: Simplify right side
    287,098.40x = 37,671,089,557.92
  5. Step 5: Solve for x
    x = 37,671,089,557.92/287,098.40
  6. Step 6: Final answer
    x = 131,213.16

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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.