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Finding the Fourth Proportional to 294,810.60, 442,215.90 and 81,578.10

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Solution

The fourth proportional to 294,810.60, 442,215.90 and 81,578.10 is: 122,367.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,810.60 : 442,215.90 = 81,578.10 : x
  2. Step 2: Convert to fraction form
    294,810.60/442,215.90 = 81,578.10/x
  3. Step 3: Cross multiply
    294,810.60x = 442,215.90 × 81,578.10
  4. Step 4: Simplify right side
    294,810.60x = 36,075,132,911.79
  5. Step 5: Solve for x
    x = 36,075,132,911.79/294,810.60
  6. Step 6: Final answer
    x = 122,367.15

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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.