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Finding the Fourth Proportional to 418,341.42, 577,315.61 and 227,354.80

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Solution

The fourth proportional to 418,341.42, 577,315.61 and 227,354.80 is: 313,752.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    418,341.42 : 577,315.61 = 227,354.80 : x
  2. Step 2: Convert to fraction form
    418,341.42/577,315.61 = 227,354.80/x
  3. Step 3: Cross multiply
    418,341.42x = 577,315.61 × 227,354.80
  4. Step 4: Simplify right side
    418,341.42x = 131,255,475,048.43
  5. Step 5: Solve for x
    x = 131,255,475,048.43/418,341.42
  6. Step 6: Final answer
    x = 313,752.04

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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.