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Finding the Fourth Proportional to 287,287.13, 430,930.70 and 90,295.13

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Solution

The fourth proportional to 287,287.13, 430,930.70 and 90,295.13 is: 135,442.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,287.13 : 430,930.70 = 90,295.13 : x
  2. Step 2: Convert to fraction form
    287,287.13/430,930.70 = 90,295.13/x
  3. Step 3: Cross multiply
    287,287.13x = 430,930.70 × 90,295.13
  4. Step 4: Simplify right side
    287,287.13x = 38,910,940,971.36
  5. Step 5: Solve for x
    x = 38,910,940,971.36/287,287.13
  6. Step 6: Final answer
    x = 135,442.69

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1.5x scale

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.