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Finding the Fourth Proportional to 294,702, 442,053 and 107,713.50

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Solution

The fourth proportional to 294,702, 442,053 and 107,713.50 is: 161,570.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,702 : 442,053 = 107,713.50 : x
  2. Step 2: Convert to fraction form
    294,702/442,053 = 107,713.50/x
  3. Step 3: Cross multiply
    294,702x = 442,053 × 107,713.50
  4. Step 4: Simplify right side
    294,702x = 47,615,075,815.50
  5. Step 5: Solve for x
    x = 47,615,075,815.50/294,702
  6. Step 6: Final answer
    x = 161,570.25

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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.