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Finding the Fourth Proportional to 407,909.84, 562,912.20 and 229,058

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Solution

The fourth proportional to 407,909.84, 562,912.20 and 229,058 is: 316,098.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,909.84 : 562,912.20 = 229,058 : x
  2. Step 2: Convert to fraction form
    407,909.84/562,912.20 = 229,058/x
  3. Step 3: Cross multiply
    407,909.84x = 562,912.20 × 229,058
  4. Step 4: Simplify right side
    407,909.84x = 128,939,542,707.60
  5. Step 5: Solve for x
    x = 128,939,542,707.60/407,909.84
  6. Step 6: Final answer
    x = 316,098.14

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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.