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Finding the Fourth Proportional to 418,496.32, 577,518.12 and 227,514.48

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Solution

The fourth proportional to 418,496.32, 577,518.12 and 227,514.48 is: 313,966.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    418,496.32 : 577,518.12 = 227,514.48 : x
  2. Step 2: Convert to fraction form
    418,496.32/577,518.12 = 227,514.48/x
  3. Step 3: Cross multiply
    418,496.32x = 577,518.12 × 227,514.48
  4. Step 4: Simplify right side
    418,496.32x = 131,393,734,762.38
  5. Step 5: Solve for x
    x = 131,393,734,762.38/418,496.32
  6. Step 6: Final answer
    x = 313,966.28

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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.