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Finding the Fourth Proportional to 287,299.80, 430,949.70 and 147,331.80

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Solution

The fourth proportional to 287,299.80, 430,949.70 and 147,331.80 is: 220,997.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,299.80 : 430,949.70 = 147,331.80 : x
  2. Step 2: Convert to fraction form
    287,299.80/430,949.70 = 147,331.80/x
  3. Step 3: Cross multiply
    287,299.80x = 430,949.70 × 147,331.80
  4. Step 4: Simplify right side
    287,299.80x = 63,492,595,010.46
  5. Step 5: Solve for x
    x = 63,492,595,010.46/287,299.80
  6. Step 6: Final answer
    x = 220,997.70

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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.