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Finding the Fourth Proportional to 409,475.60, 614,602.20 and 252,011.60

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Solution

The fourth proportional to 409,475.60, 614,602.20 and 252,011.60 is: 378,256.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,475.60 : 614,602.20 = 252,011.60 : x
  2. Step 2: Convert to fraction form
    409,475.60/614,602.20 = 252,011.60/x
  3. Step 3: Cross multiply
    409,475.60x = 614,602.20 × 252,011.60
  4. Step 4: Simplify right side
    409,475.60x = 154,886,883,785.52
  5. Step 5: Solve for x
    x = 154,886,883,785.52/409,475.60
  6. Step 6: Final answer
    x = 378,256.69

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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.