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Finding the Fourth Proportional to 287,148.40, 430,814.40 and 87,506.80

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Solution

The fourth proportional to 287,148.40, 430,814.40 and 87,506.80 is: 131,288.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,148.40 : 430,814.40 = 87,506.80 : x
  2. Step 2: Convert to fraction form
    287,148.40/430,814.40 = 87,506.80/x
  3. Step 3: Cross multiply
    287,148.40x = 430,814.40 × 87,506.80
  4. Step 4: Simplify right side
    287,148.40x = 37,699,189,537.92
  5. Step 5: Solve for x
    x = 37,699,189,537.92/287,148.40
  6. Step 6: Final answer
    x = 131,288.18

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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.