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Finding the Fourth Proportional to 446,234.72, 615,575.76 and 284,920.16

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Solution

The fourth proportional to 446,234.72, 615,575.76 and 284,920.16 is: 393,044.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    446,234.72 : 615,575.76 = 284,920.16 : x
  2. Step 2: Convert to fraction form
    446,234.72/615,575.76 = 284,920.16/x
  3. Step 3: Cross multiply
    446,234.72x = 615,575.76 × 284,920.16
  4. Step 4: Simplify right side
    446,234.72x = 175,389,944,031.32
  5. Step 5: Solve for x
    x = 175,389,944,031.32/446,234.72
  6. Step 6: Final answer
    x = 393,044.15

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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.