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Finding the Fourth Proportional to 420,462.16, 580,239.84 and 229,480

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Solution

The fourth proportional to 420,462.16, 580,239.84 and 229,480 is: 316,683.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,462.16 : 580,239.84 = 229,480 : x
  2. Step 2: Convert to fraction form
    420,462.16/580,239.84 = 229,480/x
  3. Step 3: Cross multiply
    420,462.16x = 580,239.84 × 229,480
  4. Step 4: Simplify right side
    420,462.16x = 133,153,438,483.20
  5. Step 5: Solve for x
    x = 133,153,438,483.20/420,462.16
  6. Step 6: Final answer
    x = 316,683.52

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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.