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Finding the Fourth Proportional to 418,649.04, 577,731.60 and 227,664

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Solution

The fourth proportional to 418,649.04, 577,731.60 and 227,664 is: 314,174.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    418,649.04 : 577,731.60 = 227,664 : x
  2. Step 2: Convert to fraction form
    418,649.04/577,731.60 = 227,664/x
  3. Step 3: Cross multiply
    418,649.04x = 577,731.60 × 227,664
  4. Step 4: Simplify right side
    418,649.04x = 131,528,686,982.40
  5. Step 5: Solve for x
    x = 131,528,686,982.40/418,649.04
  6. Step 6: Final answer
    x = 314,174.10

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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.