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Finding the Fourth Proportional to 294,802.40, 442,203.60 and 137,338.40

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Solution

The fourth proportional to 294,802.40, 442,203.60 and 137,338.40 is: 206,007.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,802.40 : 442,203.60 = 137,338.40 : x
  2. Step 2: Convert to fraction form
    294,802.40/442,203.60 = 137,338.40/x
  3. Step 3: Cross multiply
    294,802.40x = 442,203.60 × 137,338.40
  4. Step 4: Simplify right side
    294,802.40x = 60,731,534,898.24
  5. Step 5: Solve for x
    x = 60,731,534,898.24/294,802.40
  6. Step 6: Final answer
    x = 206,007.60

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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.