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Finding the Fourth Proportional to 294,970.60, 442,686.30 and 137,218.60

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Solution

The fourth proportional to 294,970.60, 442,686.30 and 137,218.60 is: 205,935.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,970.60 : 442,686.30 = 137,218.60 : x
  2. Step 2: Convert to fraction form
    294,970.60/442,686.30 = 137,218.60/x
  3. Step 3: Cross multiply
    294,970.60x = 442,686.30 × 137,218.60
  4. Step 4: Simplify right side
    294,970.60x = 60,744,794,325.18
  5. Step 5: Solve for x
    x = 60,744,794,325.18/294,970.60
  6. Step 6: Final answer
    x = 205,935.08

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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.