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Finding the Fourth Proportional to 421,062.96, 581,000.40 and 239,673.24

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Solution

The fourth proportional to 421,062.96, 581,000.40 and 239,673.24 is: 330,711.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,062.96 : 581,000.40 = 239,673.24 : x
  2. Step 2: Convert to fraction form
    421,062.96/581,000.40 = 239,673.24/x
  3. Step 3: Cross multiply
    421,062.96x = 581,000.40 × 239,673.24
  4. Step 4: Simplify right side
    421,062.96x = 139,250,248,309.30
  5. Step 5: Solve for x
    x = 139,250,248,309.30/421,062.96
  6. Step 6: Final answer
    x = 330,711.23

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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.