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Finding the Fourth Proportional to 243,218.16, 364,809.24 and 85,448.16

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Solution

The fourth proportional to 243,218.16, 364,809.24 and 85,448.16 is: 128,165.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    243,218.16 : 364,809.24 = 85,448.16 : x
  2. Step 2: Convert to fraction form
    243,218.16/364,809.24 = 85,448.16/x
  3. Step 3: Cross multiply
    243,218.16x = 364,809.24 × 85,448.16
  4. Step 4: Simplify right side
    243,218.16x = 31,172,278,309.00
  5. Step 5: Solve for x
    x = 31,172,278,309.00/243,218.16
  6. Step 6: Final answer
    x = 128,165.92

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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.