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Finding the Fourth Proportional to 287,228.70, 430,843.05 and 129,764.70

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Solution

The fourth proportional to 287,228.70, 430,843.05 and 129,764.70 is: 194,647.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,228.70 : 430,843.05 = 129,764.70 : x
  2. Step 2: Convert to fraction form
    287,228.70/430,843.05 = 129,764.70/x
  3. Step 3: Cross multiply
    287,228.70x = 430,843.05 × 129,764.70
  4. Step 4: Simplify right side
    287,228.70x = 55,908,219,130.34
  5. Step 5: Solve for x
    x = 55,908,219,130.34/287,228.70
  6. Step 6: Final answer
    x = 194,647.05

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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.