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Finding the Fourth Proportional to 253,555.14, 380,412.30 and 152,469.57

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Solution

The fourth proportional to 253,555.14, 380,412.30 and 152,469.57 is: 228,752.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,555.14 : 380,412.30 = 152,469.57 : x
  2. Step 2: Convert to fraction form
    253,555.14/380,412.30 = 152,469.57/x
  3. Step 3: Cross multiply
    253,555.14x = 380,412.30 × 152,469.57
  4. Step 4: Simplify right side
    253,555.14x = 58,001,299,803.71
  5. Step 5: Solve for x
    x = 58,001,299,803.71/253,555.14
  6. Step 6: Final answer
    x = 228,752.21

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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.