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Finding the Fourth Proportional to 418,476.80, 577,491.18 and 227,495

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Solution

The fourth proportional to 418,476.80, 577,491.18 and 227,495 is: 313,939.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    418,476.80 : 577,491.18 = 227,495 : x
  2. Step 2: Convert to fraction form
    418,476.80/577,491.18 = 227,495/x
  3. Step 3: Cross multiply
    418,476.80x = 577,491.18 × 227,495
  4. Step 4: Simplify right side
    418,476.80x = 131,376,355,994.10
  5. Step 5: Solve for x
    x = 131,376,355,994.10/418,476.80
  6. Step 6: Final answer
    x = 313,939.40

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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.