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Finding the Fourth Proportional to 418,314.14, 577,271.30 and 227,328.28

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Solution

The fourth proportional to 418,314.14, 577,271.30 and 227,328.28 is: 313,711.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    418,314.14 : 577,271.30 = 227,328.28 : x
  2. Step 2: Convert to fraction form
    418,314.14/577,271.30 = 227,328.28/x
  3. Step 3: Cross multiply
    418,314.14x = 577,271.30 × 227,328.28
  4. Step 4: Simplify right side
    418,314.14x = 131,230,091,722.36
  5. Step 5: Solve for x
    x = 131,230,091,722.36/418,314.14
  6. Step 6: Final answer
    x = 313,711.82

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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.