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Finding the Fourth Proportional to 444,180, 612,968.40 and 242,980.32

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Solution

The fourth proportional to 444,180, 612,968.40 and 242,980.32 is: 335,312.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    444,180 : 612,968.40 = 242,980.32 : x
  2. Step 2: Convert to fraction form
    444,180/612,968.40 = 242,980.32/x
  3. Step 3: Cross multiply
    444,180x = 612,968.40 × 242,980.32
  4. Step 4: Simplify right side
    444,180x = 148,939,257,981.89
  5. Step 5: Solve for x
    x = 148,939,257,981.89/444,180
  6. Step 6: Final answer
    x = 335,312.84

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.