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Finding the Fourth Proportional to 285,416.32, 428,390.16 and 145,279.84

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Solution

The fourth proportional to 285,416.32, 428,390.16 and 145,279.84 is: 218,054.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,416.32 : 428,390.16 = 145,279.84 : x
  2. Step 2: Convert to fraction form
    285,416.32/428,390.16 = 145,279.84/x
  3. Step 3: Cross multiply
    285,416.32x = 428,390.16 × 145,279.84
  4. Step 4: Simplify right side
    285,416.32x = 62,236,453,902.37
  5. Step 5: Solve for x
    x = 62,236,453,902.37/285,416.32
  6. Step 6: Final answer
    x = 218,054.99

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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.