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Finding the Fourth Proportional to 418,678.94, 577,771.45 and 227,688.26

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Solution

The fourth proportional to 418,678.94, 577,771.45 and 227,688.26 is: 314,206.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    418,678.94 : 577,771.45 = 227,688.26 : x
  2. Step 2: Convert to fraction form
    418,678.94/577,771.45 = 227,688.26/x
  3. Step 3: Cross multiply
    418,678.94x = 577,771.45 × 227,688.26
  4. Step 4: Simplify right side
    418,678.94x = 131,551,776,128.18
  5. Step 5: Solve for x
    x = 131,551,776,128.18/418,678.94
  6. Step 6: Final answer
    x = 314,206.81

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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.