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Finding the Fourth Proportional to 287,296.70, 430,945.05 and 109,712.30

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Solution

The fourth proportional to 287,296.70, 430,945.05 and 109,712.30 is: 164,568.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,296.70 : 430,945.05 = 109,712.30 : x
  2. Step 2: Convert to fraction form
    287,296.70/430,945.05 = 109,712.30/x
  3. Step 3: Cross multiply
    287,296.70x = 430,945.05 × 109,712.30
  4. Step 4: Simplify right side
    287,296.70x = 47,279,972,609.12
  5. Step 5: Solve for x
    x = 47,279,972,609.12/287,296.70
  6. Step 6: Final answer
    x = 164,568.45

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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.