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Finding the Fourth Proportional to 285,694.08, 428,278.68 and 152,666.16

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Solution

The fourth proportional to 285,694.08, 428,278.68 and 152,666.16 is: 228,859.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,694.08 : 428,278.68 = 152,666.16 : x
  2. Step 2: Convert to fraction form
    285,694.08/428,278.68 = 152,666.16/x
  3. Step 3: Cross multiply
    285,694.08x = 428,278.68 × 152,666.16
  4. Step 4: Simplify right side
    285,694.08x = 65,383,661,485.47
  5. Step 5: Solve for x
    x = 65,383,661,485.47/285,694.08
  6. Step 6: Final answer
    x = 228,859.00

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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.