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Finding the Fourth Proportional to 418,698.48, 577,798.32 and 227,707.76

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Solution

The fourth proportional to 418,698.48, 577,798.32 and 227,707.76 is: 314,233.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    418,698.48 : 577,798.32 = 227,707.76 : x
  2. Step 2: Convert to fraction form
    418,698.48/577,798.32 = 227,707.76/x
  3. Step 3: Cross multiply
    418,698.48x = 577,798.32 × 227,707.76
  4. Step 4: Simplify right side
    418,698.48x = 131,569,161,178.96
  5. Step 5: Solve for x
    x = 131,569,161,178.96/418,698.48
  6. Step 6: Final answer
    x = 314,233.67

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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.