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Finding the Fourth Proportional to 293,012.40, 438,827.40 and 199,009.20

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Solution

The fourth proportional to 293,012.40, 438,827.40 and 199,009.20 is: 298,044.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    293,012.40 : 438,827.40 = 199,009.20 : x
  2. Step 2: Convert to fraction form
    293,012.40/438,827.40 = 199,009.20/x
  3. Step 3: Cross multiply
    293,012.40x = 438,827.40 × 199,009.20
  4. Step 4: Simplify right side
    293,012.40x = 87,330,689,812.08
  5. Step 5: Solve for x
    x = 87,330,689,812.08/293,012.40
  6. Step 6: Final answer
    x = 298,044.35

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.