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Finding the Fourth Proportional to 242,984.80, 364,477.20 and 209,159.20

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Solution

The fourth proportional to 242,984.80, 364,477.20 and 209,159.20 is: 313,738.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,984.80 : 364,477.20 = 209,159.20 : x
  2. Step 2: Convert to fraction form
    242,984.80/364,477.20 = 209,159.20/x
  3. Step 3: Cross multiply
    242,984.80x = 364,477.20 × 209,159.20
  4. Step 4: Simplify right side
    242,984.80x = 76,233,759,570.24
  5. Step 5: Solve for x
    x = 76,233,759,570.24/242,984.80
  6. Step 6: Final answer
    x = 313,738.80

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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.