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Finding the Fourth Proportional to 243,290.48, 364,970.64 and 74,825

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Solution

The fourth proportional to 243,290.48, 364,970.64 and 74,825 is: 112,248.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    243,290.48 : 364,970.64 = 74,825 : x
  2. Step 2: Convert to fraction form
    243,290.48/364,970.64 = 74,825/x
  3. Step 3: Cross multiply
    243,290.48x = 364,970.64 × 74,825
  4. Step 4: Simplify right side
    243,290.48x = 27,308,928,138
  5. Step 5: Solve for x
    x = 27,308,928,138/243,290.48
  6. Step 6: Final answer
    x = 112,248.24

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1.5x scale

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.