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Finding the Fourth Proportional to 242,698.32, 364,064.76 and 76,482

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Solution

The fourth proportional to 242,698.32, 364,064.76 and 76,482 is: 114,728.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,698.32 : 364,064.76 = 76,482 : x
  2. Step 2: Convert to fraction form
    242,698.32/364,064.76 = 76,482/x
  3. Step 3: Cross multiply
    242,698.32x = 364,064.76 × 76,482
  4. Step 4: Simplify right side
    242,698.32x = 27,844,400,974.32
  5. Step 5: Solve for x
    x = 27,844,400,974.32/242,698.32
  6. Step 6: Final answer
    x = 114,728.45

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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.