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Finding the Fourth Proportional to 285,467.86, 393,987.60 and 164,585.49

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Solution

The fourth proportional to 285,467.86, 393,987.60 and 164,585.49 is: 227,152.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,467.86 : 393,987.60 = 164,585.49 : x
  2. Step 2: Convert to fraction form
    285,467.86/393,987.60 = 164,585.49/x
  3. Step 3: Cross multiply
    285,467.86x = 393,987.60 × 164,585.49
  4. Step 4: Simplify right side
    285,467.86x = 64,844,642,199.92
  5. Step 5: Solve for x
    x = 64,844,642,199.92/285,467.86
  6. Step 6: Final answer
    x = 227,152.16

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.